Error correcting device and error correcting method

CROSS-REFERENCE TO RELATED APPLICATIONS

p-0002This application is based upon and claims the benefit of priority from the prior Japanese Patent Applications No. 2008-051461, filed on Mar. 1, 2008, the entire contents of which are incorporated herein by reference.

BACKGROUND OF THE INVENTION

p-00031. Field of the Invention

p-0004The present invention relates to an error correcting device and an error correcting method. More specifically, the present invention relates to an error correcting device and an error correcting method that correct erroneous data included in data read out from a nonvolatile memory.

p-00052. Description of the Related Art

p-0006Semiconductor elements such as flash memories, which store information depending upon held charge amount, have recently become widely known. A multivalued memory technique, in which information of two bits or more is stored by setting a plurality of charge amount thresholds, is also developed.

p-0007In such semiconductor memories, the charges are discharged with the elapse of time. Accordingly, upon the discharge of the charges in an amount beyond the threshold, an error occurs in reading information. In particular, multivalued memories are generally narrow in threshold intervals and thus are highly likely to cause errors.

p-0008An error correcting mechanism for correct restoration of erroneous information is provided in some storage devices using the semiconductor memory (see, for example, JP-A 2007-87464 (KOKAI)).

p-0009The error correcting mechanism, however, cannot properly correct an error when the error is beyond the error correcting capability. When the error correcting mechanism corrects the error without the recognition that the error is beyond the error correcting capability, a further error is disadvantageously added.

BRIEF SUMMARY OF THE INVENTION

p-0010An error correcting device according to an embodiment of the present invention is for correcting erroneous data included in data read out from a nonvolatile memory. The error correcting device includes a determining unit that determines whether the data read out from the nonvolatile memory include an error beyond an error correcting capability of the error correcting device. When the determining unit has determined that an error beyond the error correcting capability exists, the error correcting device does not perform the correction of the error.

p-0011An error correcting device according to an embodiment of the present invention is for correcting erroneous data included in data read out from a nonvolatile memory. The error correcting method includes determining whether the data read out from the nonvolatile memory includes an error beyond an error correcting capability. When it is determined that the data includes the error beyond the error correcting capability, the error is not corrected.

BRIEF DESCRIPTION OF THE DRAWINGS

p-0012<figref idrefs="DRAWINGS">FIG. 1</figref> is a block diagram showing an example of the configuration of a solid state drive (SSD);

p-0013<figref idrefs="DRAWINGS">FIG. 2</figref> is a circuit diagram showing an example of the configuration of one block included in a not-AND (NAND) memory chip.

p-0014<figref idrefs="DRAWINGS">FIG. 3</figref> is a diagram showing an example of the configuration of data written in a NAND memory;

p-0015<figref idrefs="DRAWINGS">FIG. 4A</figref> is a diagram showing an example of the results of first error correction of the data shown in <figref idrefs="DRAWINGS">FIG. 3</figref>;

p-0016<figref idrefs="DRAWINGS">FIG. 4B</figref> is a diagram showing an example of the results of the processing of the first error correction;

p-0017<figref idrefs="DRAWINGS">FIG. 5</figref> is a diagram showing an example of the configuration of a second-error-correction decoding unit;

p-0018<figref idrefs="DRAWINGS">FIG. 6</figref> is a diagram showing an example of the configuration of a circuit of a syndrome calculator;

p-0019<figref idrefs="DRAWINGS">FIG. 7A</figref> is a diagram showing the configuration of data for second error correction processing;

p-0020<figref idrefs="DRAWINGS">FIG. 7B</figref> is a diagram showing an embodiment of the second error correction processing of the data shown in <figref idrefs="DRAWINGS">FIG. 7A</figref>;

p-0021<figref idrefs="DRAWINGS">FIG. 8</figref> is a diagram showing an example of the configuration of a Chien search circuit and an error correcting unit in an error locator calculator/error corrector;

p-0022<figref idrefs="DRAWINGS">FIG. 9A</figref> is a diagram showing the configuration of a ×α-circuit (a circuit for multiplication by a factor of α);

p-0023<figref idrefs="DRAWINGS">FIG. 9B</figref> is a diagram showing the configuration of a ×α̂32-circuit (a circuit for multiplication by a factor of α̂32);

p-0024<figref idrefs="DRAWINGS">FIG. 9C</figref> is a diagram showing the configuration of a ×α̂111-circuit (a circuit for multiplication by a factor of α̂111);

p-0025<figref idrefs="DRAWINGS">FIG. 9D</figref> is a diagram showing the configuration of a ×α̂2-circuit (a circuit for multiplication by a factor of α̂2);

p-0026<figref idrefs="DRAWINGS">FIG. 9E</figref> is a diagram showing the configuration of a ×α̂64-circuit (a circuit for multiplication by a factor of α̂6);

p-0027<figref idrefs="DRAWINGS">FIG. 9F</figref> is a diagram showing the configuration of a ×α̂222-circuit (a circuit for multiplication by a factor of α̂222);

p-0028<figref idrefs="DRAWINGS">FIG. 10</figref> is a diagram showing an example of the configuration of a circuit selecting unit;

p-0029<figref idrefs="DRAWINGS">FIG. 11</figref> is a diagram that explains the operation of a circuit selecting unit;

p-0030<figref idrefs="DRAWINGS">FIG. 12</figref> is a diagram showing an example of the configuration of a second-error-correction decoding unit according to a second embodiment of the present invention;

p-0031<figref idrefs="DRAWINGS">FIG. 13</figref> is a diagram showing an example of the configuration of a Chien search circuit and an error correcting unit in an error locator calculator/error corrector;

p-0032<figref idrefs="DRAWINGS">FIG. 14</figref> is a diagram showing an example of the configuration of a correction impossibility determinator; and

p-0033<figref idrefs="DRAWINGS">FIG. 15</figref> is a diagram showing a flow chart that explains the operation of a correction impossibility determinator.

DETAILED DESCRIPTION OF THE INVENTION

p-0034The error correcting device and the error correcting method according to a first embodiment of the present invention will be explained with reference to <figref idrefs="DRAWINGS">FIGS. 1 to 11</figref>. <figref idrefs="DRAWINGS">FIG. 1</figref> is a schematic block diagram showing an example of the configuration of a solid state drive (SSD) <b>1</b> according to the first embodiment of the present invention. SSD <b>1</b> is connected to a host device (a host) <b>4</b> through an interface (I/F) and functions as an external memory for the host device <b>4</b>.

p-0035SSD <b>1</b> includes a NAND flash memory (hereinafter abbreviated to “NAND memory”) <b>2</b> as a nonvolatile memory and a NAND controller <b>3</b> that performs reading of data from the NAND memory <b>2</b> and writing of data in the NAND memory <b>2</b> in response to an instruction by the host device <b>4</b>. In this embodiment, a NAND memory is used as the nonvolatile memory. However, any storage device may be used so far as the nonvolatile memory has a feature that information data can be stored in a nonvolatile state and the stored data may undergo a change with the elapse of time.

p-0036The NAND memory <b>2</b> includes a plurality of memory blocks BLK as a data erasing unit. The configuration of the memory blocks BLK will be explained with reference to <figref idrefs="DRAWINGS">FIG. 2</figref>. <figref idrefs="DRAWINGS">FIG. 2</figref> is an equivalent circuit diagram showing the configuration of any one of the memory blocks BLK.

p-0037The memory block BLK includes m NAND strings, wherein m is an integer of one or more, disposed along direction X. Each of the NAND strings includes selective transistors ST<b>1</b>, ST<b>2</b> and n memory cell transistors MT wherein n is an integer of one or more. In the selective transistors ST<b>1</b> included in the respective m NAND strings, drains are connected to respective bit lines BL<b>1</b> to BLm, and gates are connected by common connection to a selective gate line SGD. On the other hand, in the selective transistors ST<b>2</b>, sources are connected by common connection to a source line SL, and gates are connected by common connection to a selective gate line SGS.

p-0038Each memory cell transistor MT is a metal oxide semiconductor field effect transistor (MOSFET) having a stacked gate structure provided on a semiconductor substrate through a gate insulating film. The stacked gate structure includes a charge accumulating layer (a floating gate electrode) provided on the gate insulating film and a control gate electrode provided on the charge accumulating layer through an intergate insulating film. In each of the NAND strings, n memory cell transistors MT are disposed between the source in the selective transistors ST<b>1</b> and the drain in the selective transistors ST<b>2</b> so that current paths are connected to each other in series. That is, the n memory cell transistors MT are connected to each other in series in direction Y so that a source region or a drain region is shared by adjacent memory cell transistors MT.

p-0039The control gate electrodes in the respective memory cell transistors MT are connected respectively to word lines WL<b>1</b> to WLn successively from the memory cell transistor MT located nearmost to the drain side. Accordingly, the drain of the memory cell transistor MT connected to the word line WL<b>1</b> is connected to the source of the selective transistor ST<b>1</b>, and the source of the memory cell transistor MT connected to the word line WLn is connected to the drain of the selective transistor ST<b>2</b>.

p-0040In the memory block BLK, the control gate electrodes of the respective memory cell transistors MT in the respective NAND strings are connected to each other through the respective common word lines WL<b>1</b> to WLn. That is, the control gate electrodes of the memory cell transistors MT located in an identical row within the memory block BLK are connected to an identical word line WL. A plurality of memory cells connected to the identical word line WL are handled as one page, and data writing and data reading are performed page by page.

p-0041The drains of the selective transistors ST<b>1</b> in the respective memory blocks BLK are connected to each other through the common respective bit lines BL<b>1</b> to BLn. That is, the NAND strings located in an identical column within a plurality of memory blocks BLK are connected to an identical bit line BL.

p-0042The memory cell transistors MT undergo a change in threshold voltage depending upon the number of electrons stored in the floating gate electrode and store information depending upon the difference in threshold voltage. The memory cell transistor MT may be configured so as to store information of one bit, or alternatively may be configured so as to store a plurality of bits (multiple value). The embodiment according to the present invention is particularly effective for multivalued memory cell transistors MT with narrow threshold intervals. A sense amplifier and a control circuit (not shown), including a potential generating circuit, provided within the NAND memory <b>2</b> can write data, supplied into the NAND memory <b>2</b>, in the memory cell transistors MT and can output data stored in the memory cell transistors MT to the outside of the NAND memory <b>2</b>.

p-0043In <figref idrefs="DRAWINGS">FIG. 1</figref>, the NAND controller <b>3</b> includes host I/F <b>10</b> that performs interface processing with the host device <b>4</b>, NAND I/F <b>20</b> that performs interface processing with the NAND memory <b>2</b> and controls reading/writing of data, an error-correction coding unit <b>30</b> that generates an error correcting code for data written in the NAND memory <b>2</b>, and an error-correction decoding unit <b>40</b> that detects and corrects an error in data read out from the NAND memory <b>2</b>. The error-correction coding unit <b>30</b> includes a first-error-correcting-code generating unit <b>31</b> and a second-error-correcting-code generating unit <b>32</b>. The first-error-correcting-code generating unit <b>31</b> generates a first error correcting code for correcting the error on a predetermined block BK basis for the written data. Here the first error correcting code may be an error correcting code that can correct an error of one bit or a plurality of bits. In this embodiment, a hamming code (first error correcting code) of six bits having a 1-bit error correcting capability is generated on a basis of a block BK of 32-bit data.

p-0044The second-error-correcting-code generating unit <b>32</b> generates, on a basis of a plurality of blocks, a second error correcting code for the data written in the NAND memory <b>2</b> for error correction of the data. The second error correcting code may be an error correcting code that can correct an error of a plurality of bits. Examples of such error correcting codes usable herein include Bose-Chaudhuri-Hocquenghem codes (BCH codes) and Reed-Solomon codes (RS codes). In this embodiment, a BCH code of 16 bits having a two-bit error correcting capability is generated on a four-block (128 bits) basis.

p-0045<figref idrefs="DRAWINGS">FIG. 3</figref> is a diagram showing an example of the configuration of data written in the NAND memory <b>2</b>. As shown in the drawing, a six-bit hamming code (first error correcting code) having a 1-bit error correcting capability is added on a basis of a block BK of 32-bit data, and a 16-bit BCH code (second error correcting code) having a 2-bit error correcting capability is added on a four-block BK (128 bits) basis.

p-0046The error-correction decoding unit <b>40</b> includes a first-error-correction decoding unit <b>42</b> and a second-error-correction decoding unit <b>41</b>. The first-error-correction decoding unit <b>42</b> performs first error correction for the data read out from the NAND memory <b>2</b> using the hamming code on a block BK basis. The first-error-correction decoding unit <b>42</b> further detects an error from the data after the first error correction and outputs the results of error correction to the second-error-correction decoding unit <b>41</b>. The second-error-correction decoding unit <b>41</b> refers to the results of error correction and performs second error correction for the data after the first error correction using the BCH code on a four-block BK basis.

p-0047The operation of SSD <b>1</b> having the above configuration will be briefly explained. Upon the supply of data (write data), which require writing, from the host device <b>4</b> into SSD <b>1</b>, the host I/F <b>10</b> supplies the received write data into the error-correction coding unit <b>30</b>. The error-correction coding unit <b>30</b> generates a first and a second error correcting codes for the write data. NAND I/F <b>20</b> writes the write data with the first and the second error correcting codes added thereto in the NAND memory <b>2</b>.

p-0048Further, upon the receipt of a request for reading-out of data from the host device <b>4</b> by SSD <b>1</b>, NAND I/F <b>20</b> reads out data required to be read out (reading-out data) and the first and the second error correcting codes added to the data and supplies them to the error-correction decoding unit <b>40</b>. The error-correction decoding unit <b>40</b> performs the first and the second error correction of the read-out data. The data after error correction are transferred by the host I/F <b>10</b> to the host device <b>4</b>.

p-0049The configuration and operation of the second-error-correction decoding unit <b>41</b> will be explained in detail with reference to <figref idrefs="DRAWINGS">FIGS. 4 to 11</figref>. <figref idrefs="DRAWINGS">FIG. 4A</figref> is a diagram showing an example of the configuration of data after first error correction, and <figref idrefs="DRAWINGS">FIG. 4B</figref> is a diagram showing an example of the results of first error correction processing. <figref idrefs="DRAWINGS">FIG. 5</figref> is a diagram showing an example of the configuration of the second-error-correction decoding unit <b>41</b>. <figref idrefs="DRAWINGS">FIG. 5</figref> is a flow diagram that briefly explains processing in the second correction decoding unit. <figref idrefs="DRAWINGS">FIG. 6</figref> is a diagram showing an example of the configuration of a circuit of a syndrome calculator.

p-0050As shown in <figref idrefs="DRAWINGS">FIG. 5</figref>, the second-error-correction decoding unit <b>41</b> includes a syndrome calculator <b>51</b> that calculates a syndrome value of the reading-out data subjected to the first error correction, a memory <b>52</b> for temporarily storing the data, an error-position polynomial calculator <b>53</b> that generates an error position polynomial based on the syndrome value, an error locator calculator/error corrector <b>54</b> that computes the root of the error position polynomial, identifies the position of the error, corrects the data located in the error position, and calculates the number of errors in a data correcting object area, a comparator <b>55</b> that compares the number of errors, calculated by the error-position polynomial calculator <b>53</b>, with the number of errors calculated by the error locator calculator/error corrector <b>54</b>, and a selector <b>56</b> that selects the data after the error correction with the error locator calculator/error corrector <b>54</b> and the data before the error correction stored in the memory <b>52</b>.

p-0051It has been found that, when a correctable error of data exists, the probability that the error position indicated by the error locator calculator/error corrector <b>54</b> is correct is high, while, when an error beyond the error correcting capability exists, the probability that the error position indicated by the error locator calculator/error corrector <b>54</b> is erroneous is high. Based on this finding, in this embodiment, the following method is adopted. The number of errors in the correcting object area is compared with the number of errors determined by the calculation of the error position polynomial. When the number of errors in the correcting object area is not equal to the number of errors determined by the calculation, the error is determined to be beyond the error correcting capability. That is, the error is determined to be uncorrectable. In this case, the error correction is not performed.

p-0052The error-position polynomial calculator <b>53</b> calculates the error position polynomial using a syndrome polynomial and outputs a coefficient of the error position polynomial to the error locator calculator/error corrector <b>54</b>. Further, the error-position polynomial calculator <b>53</b> calculates the number of errors from the error position polynomial and outputs the results to the comparator <b>55</b>.

p-0053When the number of errors included in the data exceeds the error correcting capability (n bits), the number of errors, which is different from the actual number of errors, is sometimes calculated. For example, when a BCH code having an error correcting capability of 10 bits is used, an error of 30 bits is sometimes calculated as an error of 10 bits.

p-0054The error locator calculator/error corrector <b>54</b> performs a Chien search using the coefficient of error position polynomial received from the error-position polynomial calculator <b>53</b>, calculates the position of the error in the correcting object area, counts the number of errors in the object area, reads out the data before the correction stored in the memory <b>52</b>, and corrects the error. The error locator calculator/error corrector <b>54</b> outputs the error corrected data to the selector <b>56</b> and further outputs the counted number of errors in the correcting object area to the comparator <b>55</b>.

p-0055The comparator <b>55</b> compares the number of errors received from the error-position polynomial calculator <b>53</b> with the number of errors in the object area received from the error locator calculator/error corrector <b>54</b>. When the number of errors received from the error-position polynomial calculator <b>53</b> is equal to the number of errors received from the error locator calculator/error corrector <b>54</b>, the comparator <b>55</b> outputs normal information indicating that the results of the error correction are correct (for example, “1”) to the selector <b>56</b>. On the other hand, when the number of errors received from the error-position polynomial calculator <b>53</b> is not equal to the number of errors received from the error locator calculator/error corrector <b>54</b>, the comparator <b>55</b> determines that an error beyond the error correcting capability exists. In this case, the comparator <b>55</b> outputs abnormal information indicating that the results of error correction are abnormal (for example, “0”) to the selector <b>56</b>.

p-0056Upon the receipt of a normal signal from the comparator <b>55</b>, the selector <b>56</b> transfers the error corrected data received from the error locator calculator/error corrector <b>54</b> to the host device <b>4</b>. On the other hand, upon the receipt of an abnormal signal from the comparator <b>55</b>, the selector <b>56</b> transfers the data before the error correction stored in the memory <b>52</b> to the host device <b>4</b>.

p-0057The operation of error correction decoding in the first and the second-error-correction decoding units <b>42</b> and <b>41</b> will be explained in detail. When the host device <b>4</b> sends a request for reading-out of data to the NAND memory <b>2</b>, NAND I/F <b>20</b> reads out the requested data from the NAND memory <b>2</b> and outputs the data to the first-error-correction decoding unit <b>42</b>.

p-0058The first-error-correction decoding unit <b>42</b> receives the data (data block, hamming code, and BCH code) read out from the NAND memory <b>2</b> and performs first error correction using the hamming code for each block BK. In this embodiment, the hamming code has a 1-bit error correcting capability, and, thus, an error of two bits or more cannot be corrected. The first-error-correction decoding unit <b>42</b> detects whether the error of the block BK could be corrected by the first error correction processing. Specifically, for example, a method may be adopted in which, for the block BK after the first error correction, the syndrome calculation is carried out and whether the error could be corrected is determined based on the calculation results (“0”=no error). Alternatively, a method may be adopted in which an error detecting code is added for each block BK and whether the data after the first error correction include an error is detected using the error detecting code.

p-0059The first-error-correction decoding unit <b>42</b> discards the hamming codes and outputs, to the second-error-correction decoding unit <b>41</b>, the data blocks BK after the first error correction processing, the BCH code, and the results (results of first error correction decoding) of the first error correction processing for each of the data blocks BK. Processing where an error exists in BK<b>0</b> and BK<b>2</b> among the read-out data after the first error correction as shown in <figref idrefs="DRAWINGS">FIG. 4A</figref> will be explained below. <figref idrefs="DRAWINGS">FIG. 4B</figref> is a diagram showing the results of the first error processing shown in <figref idrefs="DRAWINGS">FIG. 4A</figref> (one bit). In the drawing, “0” represents that an error is absent while “1” represents that an error exists.

p-0060In the second-error-correction decoding unit <b>41</b>, the blocks BK after the first error correction processing, the BCH code, and the results of the first error correction for each of the data blocks BK (one bit) are stored in the memory <b>52</b>, and, further, the blocks BK after the first error correction processing and BCH code are input into the syndrome calculator <b>50</b>. Processing where, in performing BCH coding in the second-error-correcting-code generating unit <b>32</b>, a primitive polynomial G(X) represented by the following equation (1) is used, will be explained.

p-0061<br />Primitive polynomial: <i>G</i>(<i>X</i>)=<i>x̂</i>8<i>+x̂</i>4+<i>x̂</i>3<i>+x̂</i>2+1  (1)

p-0062In the syndrome calculator <b>51</b>, as shown in <figref idrefs="DRAWINGS">FIG. 6</figref>, data are input in the order of data[<b>0</b>] to data[<b>143</b>] in BK<b>0</b>, BK<b>1</b>, BK<b>2</b>, BK<b>3</b>, and BCH code followed by syndrome calculation. The results of the syndrome calculation S<b>0</b>[7:0] to S<b>3</b>[7:0] are output to the error-position polynomial calculator <b>53</b>.

p-0063In <figref idrefs="DRAWINGS">FIG. 5</figref>, the error-position polynomial calculator <b>53</b> calculates coefficients σ<b>1</b> and σ<b>2</b> using the results of syndrome calculation S<b>0</b>[7:0] to S<b>3</b>[7:0] in error position polynomial σ(Z)=1σ<b>0</b>Z+σ<b>1</b>Ẑ2. This processing will be explained using Peterson's algorithm. Other methods usable herein include Berlekamp-Massey algorithm (BM algorithm) and Euclidean algorithm. In the Peterson's algorithm, a determinant represented by the following equation (2) is computed using values S<b>0</b> to S<b>3</b> obtained by syndrome calculation to calculate the coefficients σ<b>0</b> and σ<b>1</b> of the error position polynomial. The coefficients σ<b>0</b>[7:0] and σ<b>1</b>[7:0] of the error position polynomial calculated by the error-position polynomial calculator <b>53</b> are output to the error locator calculator/error corrector <b>54</b>.

p-0064<maths id="MATH-US-00001" num="00001"><math overflow="scroll"><mtable><mtr><mtd><mrow><mrow><mrow><mo>(</mo><mtable><mtr><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>1</mn></mrow></mtd><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>0</mn></mrow></mtd></mtr><mtr><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>2</mn></mrow></mtd><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>1</mn></mrow></mtd></mtr></mtable><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mtable><mtr><mtd><mrow><mi>σ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>0</mn></mrow></mtd></mtr><mtr><mtd><mrow><mi>σ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>1</mn></mrow></mtd></mtr></mtable><mo>)</mo></mrow></mrow><mo>=</mo><mrow><mo>-</mo><mrow><mo>(</mo><mtable><mtr><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>2</mn></mrow></mtd></mtr><mtr><mtd><mrow><mi>S</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>3</mn></mrow></mtd></mtr></mtable><mo>)</mo></mrow></mrow></mrow></mtd><mtd><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mtd></mtr></mtable></math></maths>

p-0065The error locator calculator/error corrector <b>54</b> performs a Chien search based on the coefficients σ<b>0</b>[7:0] and σ<b>1</b>[7:0] of the error position polynomial received from the error-position polynomial calculator <b>53</b> to identify the position of an error and performs the second error correction of the data subjected to the first error correction stored in the memory <b>52</b>.

p-0066To bring the code length to 2̂N−1=255 bits (fixed length) wherein N=8, as shown in <figref idrefs="DRAWINGS">FIG. 7A</figref>, the error locator calculator/error corrector <b>54</b> performs zero padding of leading 111 bits in data as a processing object. In the case of <figref idrefs="DRAWINGS">FIG. 4A</figref>, as shown in <figref idrefs="DRAWINGS">FIG. 7B</figref>, the padding area and the blocks BK<b>1</b> and BK<b>3</b> detected as error-free blocks constitute an error-free area. In this embodiment, the error locator calculator/error corrector <b>54</b> counts the number of errors at a high speed by skipping error counting processing of an area in a range of from the lead to the error-free area (padding area and the area determined to be free from an error after the first error correction) and counting the number of errors only in the other areas.

p-0067<figref idrefs="DRAWINGS">FIG. 8</figref> is a diagram showing an example of the configuration of a Chien search circuit <b>61</b> and an error correcting unit <b>62</b> in the error locator calculator/error corrector <b>54</b>. <figref idrefs="DRAWINGS">FIG. 9A</figref> is a diagram showing the configuration of a ×α-circuit (a circuit for multiplication by a factor of α) in the Chien search circuit <b>61</b> (multiplication circuit). <figref idrefs="DRAWINGS">FIG. 9B</figref> is a diagram showing the configuration of a ×α̂32-circuit (a circuit for multiplication by a factor of α̂32) in the Chien search circuit <b>61</b>. <figref idrefs="DRAWINGS">FIG. 9C</figref> is a diagram showing the configuration of a ×α̂111-circuit (a circuit for multiplication by a factor of α̂111) in the Chien search circuit <b>61</b>. <figref idrefs="DRAWINGS">FIG. 9D</figref> is a diagram showing the configuration of a ×α̂2-circuit (a circuit for multiplication by a factor of α̂2) in the Chien search circuit <b>61</b>. <figref idrefs="DRAWINGS">FIG. 9E</figref> is a diagram showing the configuration of a ×α̂64-circuit (a circuit for multiplication by a factor of α̂64) in the Chien search circuit <b>61</b>. <figref idrefs="DRAWINGS">FIG. 9F</figref> is a diagram showing the configuration of a ×α̂222-circuit (a circuit for multiplication by a factor of α̂222) in the Chien search circuit <b>61</b>. <figref idrefs="DRAWINGS">FIG. 10</figref> is a diagram showing the configuration of a circuit selecting unit in the Chien search circuit.

p-0068The Chien search algorithm is an algorithm in which the αith power of algorithm α, where i=0, 1, . . . , n−1, is iteratively substituted for σ(z) to examine whether σ(αi) is zero (0). The search for the root by this algorithm is called a Chien search.

p-0069As shown in <figref idrefs="DRAWINGS">FIG. 8</figref>, the Chien search circuit <b>61</b> includes a circuit selecting unit <b>71</b> that outputs a switching signal to selectors SEL<b>0</b>, SEL <b>1</b>, a selector SEL<b>0</b> that alternatively selects and outputs the output of a ×α-circuit <b>76</b>, a ×α̂32-circuit <b>75</b>, and a ×α̂111-circuit <b>74</b>, a selector SEL<b>1</b> that alternatively selects and outputs the output of a ×α̂2-circuit <b>79</b>, a ×α̂64-circuit <b>78</b>, and a ×α222-circuit <b>77</b>, registers <b>0</b>, <b>1</b>, an EXOR computing circuit <b>80</b>, and an error-number counting unit <b>81</b> that counts the number of times which brings the output of the EXOR computing circuit <b>80</b> to “1” and outputs the count as the number of errors to the comparator <b>55</b> (see <figref idrefs="DRAWINGS">FIG. 5</figref>).

p-0070The Chien search circuit <b>61</b> further includes 1-bit processing units (×α-circuit <b>76</b> and ×α̂2-circuit <b>79</b>), 32-bit processing units (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>), and 111-bit processing units (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>77</b>) as multipliers that feed back a resistor ouput to a registor input.

p-0071The provision of the 32-bit processing units (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>) and 111-bit processing units (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>77</b>) in addition to the 1-bit processing units (×α-circuit <b>76</b> and ×α̂-circuit <b>79</b>) in the Chien search circuit <b>61</b> according to this embodiment can accelerate the Chien search.

p-0072The 1-bit processing units (×α-circuit <b>76</b> and ×α̂2-circuit <b>79</b>) are used when the blocks in the error correcting object area are processed on a 1-bit basis. The 32-bit processing units (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>) are used when a block (32 bits), which has been determined to be free from an error in an area which is not the error correcting object area, is processed. The 32-bit processing units can process the 32-bit data by one cycle (at one time). The 111-bit processing units (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>77</b>) are used when a padding area (111 bits) subjected to zero padding in an area, which is not the error correcting object area, is processed. The 111-bit processing units can process the 111-bit data by one cycle (at one time).

p-0073The error correcting unit <b>62</b> includes an inverter <b>82</b> that inverts and outputs data, and a selector <b>83</b> that outputs an inverted value of input data when the results of the EXOR computation are “1” while the input data as such are output when the results of the EXOR computation are a value other than “1”.

p-0074Processing flow of the Chien search circuit <b>61</b> will be explained. At the outset, the coefficients σ<b>0</b>[7:0] and σ<b>1</b>[7:0] determined by the error position polynomial calculation are introduced into a register <b>0</b> and a register <b>1</b>.

p-0075(1) The processing is transferred to processing of the zero padding area located in the lead. Since this area has been determined to be free from an error, the circuit selecting unit <b>71</b> outputs, to SEL<b>0</b> and SEL<b>1</b>, a selection signal that allows the selection of the ×α̂111-circuit and the ×α̂222-circuit. The selectors SEL<b>0</b> and SEL<b>1</b> select an output of the ×α̂111-circuit <b>74</b>, i.e., d<b>0</b>[7:0], and an output of the ×α̂222-circuit <b>77</b>, i.e., d<b>1</b>[7:0], respectively, which are then introduced into the resistor <b>0</b> and the resistor <b>1</b>, respectively. This can realize the processing of the 0 padding area (111 bits) by one cycle (at one time) and thus can accelerate the processing of the 0 padding area (111 bits).

p-0076(2) Block BK<b>0</b> is processed. The block BK<b>0</b> is an error correcting object block BK. At the outset, the error correcting unit <b>62</b> retrieves the leading data BK<b>0</b>[<b>0</b>] in the block BK<b>0</b> from the memory <b>53</b>. Next, an output of the ×α-circuit <b>76</b>, i.e., b<b>0</b>[7:0], and an output of the ×α̂2-circuit <b>79</b>, i.e., b<b>1</b>[7:0], are selected and are introduced into the resistor <b>0</b> and the resistor <b>1</b>. A selector <b>92</b> in the error correcting unit <b>62</b> outputs an inverted value of the value of BK<b>0</b>[<b>0</b>] when the results of EXOR computation performed in the EXOR computing unit <b>80</b> in the resistor <b>0</b> and the resistor <b>1</b> are “1”. When the results of the EXOR computation are a value other than 1, the value of BK<b>0</b>[<b>0</b>] as such is output. Next, the error correcting unit <b>62</b> retrieves the second data BK<b>0</b>[<b>1</b>] in the block BK<b>0</b> from the memory <b>53</b>. An output of the ×α-circuit <b>76</b>, i.e., b<b>0</b>[7:0], and an output of the ×α̂2-circuit <b>79</b>, i.e., b<b>1</b>[7:0], are selected and are introduced into the resistor <b>0</b> and the resistor <b>1</b>. When the results of the EXOR computation in the resistor <b>0</b> and the resistor <b>1</b> are 1, an inverted value of the value of BK<b>0</b>[<b>1</b>] is output. When the results of the EXOR computation are a value other than 1, the value of BK<b>0</b>[<b>1</b>] as such is output. The same procedure is repeated to the last data BK<b>0</b>[<b>31</b>] in the block BK<b>0</b>. Thus, BK<b>0</b> is processed on a 1-bit basis.

p-0077(3) The block BK<b>1</b> is processed. The block BK<b>1</b> is a block other than the error correcting object. Accordingly, an output of the ×α̂32-circuit <b>75</b>, i.e., c<b>0</b>[7:0], and an output of the ×α̂64-circuit <b>78</b>, i.e., c<b>1</b>[7:0], are introduced into the resistor <b>0</b> and the resistor <b>1</b>. This can realize the processing of the block (32 bits) other than the error correcting object at one time and thus can accelerate the processing of the block (32 bits) other than the error correcting object.

p-0078(4) The block BK<b>2</b> is processed. The block BK<b>2</b> is an error correcting object block. In the same manner as in the processing (3), data from the leading data BK<b>2</b>[<b>0</b>] to the last data BK<b>2</b>[<b>31</b>] in the block BK<b>2</b> are retrieved from the memory <b>53</b> and are processed.

p-0079(5) The block BK<b>3</b> is processed. The block BK<b>3</b> is a block other than the error correcting object block. An output of the ×α̂32-circuit <b>75</b>, i.e., c<b>0</b>[7:0], and an output of the ×α̂64-circuit <b>78</b>, i.e., c<b>1</b>[7:0], are introduced into the resistor <b>0</b> and the resistor <b>1</b>.

p-0080<figref idrefs="DRAWINGS">FIG. 10</figref> is a diagram showing an example of the configuration of the circuit selecting unit <b>71</b>. The circuit selecting unit <b>71</b> includes a unit <b>91</b> that stores the results of first error correction decoding, a selector <b>92</b>, a block counting unit <b>93</b>, a bit counting unit <b>95</b>, a bit comparing unit <b>97</b>, and a determining unit <b>98</b>.

p-0081The unit <b>91</b> that stores the results of first error correction decoding, stores the results of the first error correction decoding for each of the blocks BK<b>0</b> to BK<b>3</b>. “0” represents an error corrected BK (a block other than the object block in the second error correction decoding). “1” represents an uncorrected BK (an object block in the second error correction decoding).

p-0082The bit counting unit <b>95</b> counts a value in a bit counter, which indicates a current processing position in one block BK, and outputs the count to the bit comparing unit <b>97</b> (value in bit counter=0 to 31). The block counting unit <b>93</b> counts a value in a block counter, which indicates a current processing block in four blocks BK, and outputs the count to the selector <b>92</b> (value in block counter=0 to 3). The bit comparing unit <b>97</b> determines whether the bit count is equal to the block size. When the bit count is equal to the block size, the bit comparing unit <b>97</b> allows the block counting unit <b>93</b> to increment the block count.

p-0083The selector <b>92</b> outputs, to the determining unit <b>98</b>, the results of first error correction decoding, in the block indicated by the value in the block counter, stored in a unit <b>111</b> that stores the results of the first error correction decoding. Based on the results of the first error correction decoding in the current processing block output from the selector <b>92</b>, the determining unit <b>98</b> selects any one of the 1-bit processing circuit (×α-circuit <b>76</b> and ×α̂2-circuit <b>79</b>), the 32-bit processing circuit (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>), and the 111-bit processing circuit (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>77</b>) and outputs a selection signal to the selectors SEL<b>0</b>, SEL<b>1</b>. Immediately after the start of the processing, the determining unit <b>98</b> selects the 111-bit processing unit (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>77</b>) to process the padding area. When the current processing block is a block other than the correcting object block, the determining unit <b>98</b> selects the 32-bit processing unit (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>). When the current processing block is an error correcting object block, the determining unit <b>98</b> selects the 1-bit processing unit (×α-circuit <b>76</b> and ×α̂2-circuit <b>79</b>).

p-0084<figref idrefs="DRAWINGS">FIG. 11</figref> is a flow chart that explains the operation of the circuit selecting unit <b>71</b>. In <figref idrefs="DRAWINGS">FIG. 11</figref>, at the outset, the determining unit <b>98</b> selects the 111-bit processing unit (×α̂111-circuit <b>74</b> and ×α̂222-circuit <b>222</b>) (step S<b>11</b>). Next, the determining unit <b>98</b> determines whether the value, in the unit <b>91</b> that stores the results of the first error correction decoding, indicated by the value in the block counter is “1” (step S<b>12</b>). When the value is “1” (“Yes” in step S<b>12</b>), the determining unit <b>98</b> selects the 1-bit processing unit (×α-circuit <b>76</b> and ×α̂2-circuit <b>79</b>) (step S<b>16</b>). The bit counting unit <b>95</b> increments the value in the bit counter (step S<b>17</b>), and the bit comparing unit <b>97</b> determines whether the value in the bit counter is equal to the block size “32” (step S<b>18</b>). When the value in the bit counter is equal to the block size (“Yes” in step S<b>18</b>), the step is transferred to step S<b>14</b>. On the other hand, when the value in the bit counter is not equal to the block size (“No” in step S<b>18</b>), the step is returned to step S<b>17</b>.

p-0085In step S<b>12</b>, when the value, in the unit <b>91</b> that stores the results of the first error correction decoding, indicated by the value in the block counter, is not “1” (“No” in step S<b>12</b>), the determining unit <b>98</b> selects the 32-bit processing unit (×α̂32-circuit <b>75</b> and ×α̂64-circuit <b>78</b>) (step S<b>13</b>), and the block counting unit <b>95</b> increments the block counter (step S<b>14</b>). When the value in the block counter is “4” (“Yes” in step S<b>15</b>), the flow is ended. On the other hand, when the value in the block counter is not “4” (“No” in step S<b>15</b>), the step is returned to step S<b>12</b>.

p-0086As described above, according to the first embodiment, whether an error beyond an error correcting capability of second error correction exists is determined, and, when an error beyond the error correcting capability has been determined to exist, the second error correction is not performed. The addition of a further error in the presence of an error beyond the error correcting capability can be avoided.

p-0087Further, according to this embodiment, the comparator <b>55</b> compares the information about the number of errors received from the error-position polynomial calculator <b>53</b> with the information about the number of errors in the object area received from the error locator calculator/error corrector <b>54</b>, and, when these numbers of errors are not equal to each other, an error beyond the error correcting capability has been determined to exist. Accordingly, whether an error beyond the error correcting capability exists can be determined in a simple and cost-effective manner.

p-0088The error locator calculator/error corrector <b>54</b> does not count the number of errors in the error-free area and counts the number of errors (the number of corrected errors) only in the other areas. Accordingly, the number of errors can be counted at a high speed.

p-0089The second-error-correction decoding unit <b>41</b> according to a second embodiment of the present invention will be explained with reference to <figref idrefs="DRAWINGS">FIGS. 12 to 15</figref>. It has been found that, when a correctable error of data exists, the probability that the error position indicated by the error locator calculator/error corrector <b>101</b> is correct is high, while, when an error beyond the error correcting capability exists, the probability that the error position indicated by the error locator calculator/error corrector <b>101</b> is erroneous is high. Based on this finding, according to the second embodiment, the following method is adopted. In <figref idrefs="DRAWINGS">FIG. 7B</figref>, in the error locator calculator/error corrector <b>101</b>, the error position is detected from the lead. When an error position is found in the error-free area (area other than the correcting object area), the error is determined to be beyond the error correcting capability and is determined to be uncorrectable. In this case, subsequent detection of error position is not performed.

p-0090<figref idrefs="DRAWINGS">FIG. 12</figref> is a diagram showing the configuration of the second-error-correction decoding unit <b>41</b> according to the second embodiment. The second-error-correction decoding unit <b>41</b> according to the second embodiment includes a syndrome calculator <b>51</b> that performs syndrome calculation, a memory <b>52</b> that temporarily stores data, an error-position polynomial calculator <b>53</b>, an error locator calculator/error corrector <b>101</b>, a correction impossibility determinator <b>102</b>, data after the second error correction, and a selector <b>56</b> that selects data before the second error correction stored in the memory <b>52</b>.

p-0091The syndrome calculator <b>51</b> performs syndrome polynomial calculation and outputs the calculated syndrome polynomial to the error-position polynomial calculator <b>53</b>. The error-position polynomial calculator <b>53</b> performs error position polynomial calculation using syndrome polynomial and outputs the coefficient of error position polynomial to the error locator calculator/error corrector <b>101</b>.

p-0092The error locator calculator/error corrector <b>101</b> performs a Chien search using the coefficient of error position polynomial input from the error-position polynomial calculator <b>53</b> to calculate the error position, reads out data before the correction stored in the memory <b>52</b>, corrects the error, and outputs the corrected data to the selector <b>56</b>. Upon the detection of an error, the error locator calculator/error corrector <b>101</b> outputs an error detected signal to the correction impossibility determinator <b>102</b>.

p-0093When the error detected area is determined to be an error-free area (padding area and area which has been determined to be free from an error by the error detection) based on the results of first error correction received from the first-error-correction decoding unit <b>42</b> and the error detected signal received from the error locator calculator/error corrector <b>101</b>, the correction impossibility determinator <b>102</b> determines that the error is uncorrectable that is, is determined to be beyond the error correcting capability. In this case, the correction impossibility determinator <b>102</b> ends the processing and outputs an abnormal signal indicating that the error is uncorrectable to the selector <b>56</b>.

p-0094The selector <b>56</b> transfers the data after the error correction received from the error locator calculator/error corrector <b>101</b> to the host device <b>4</b>. On the other hand, when an abnormal signal is received from the correction impossibility determinator <b>102</b>, the selector <b>56</b> transfers the data before the error correction stored in the memory <b>52</b> to the host device <b>4</b>.

p-0095To bring the code length to 2̂N−1=255 bits (fixed length) wherein N=8, as shown in <figref idrefs="DRAWINGS">FIG. 7A</figref>, the error locator calculator/error corrector <b>101</b> performs zero padding of leading 111 bits in data as a processing object. In the case of <figref idrefs="DRAWINGS">FIG. 4A</figref>, as shown in <figref idrefs="DRAWINGS">FIG. 7B</figref>, the padding area and the blocks BK<b>1</b> and BK<b>3</b> detected as error-free blocks constitute an error-free area.

p-0096<figref idrefs="DRAWINGS">FIG. 13</figref> is a diagram showing an example of the configuration of the Chien search circuit <b>61</b> and the error correcting unit <b>62</b> in the error locator calculator/error corrector <b>101</b>. In <figref idrefs="DRAWINGS">FIG. 13</figref> and <figref idrefs="DRAWINGS">FIG. 8</figref>, sites having identical or equivalent functions have the same reference characters, and the overlapped description thereof will be omitted. The Chien search circuit <b>61</b> shown in <figref idrefs="DRAWINGS">FIG. 13</figref> has a standard circuit configuration. In <figref idrefs="DRAWINGS">FIG. 13</figref>, the 32-bit processing unit and the 111-bit processing unit provided in <figref idrefs="DRAWINGS">FIG. 8</figref> are not provided. In <figref idrefs="DRAWINGS">FIG. 13</figref>, the error-free area (padding area and area which has been determined to be free from an error after the first error correction) shown in <figref idrefs="DRAWINGS">FIG. 7B</figref> is also processed in the same manner as in the other areas. The output of the EXOR computing unit <b>80</b> is output as an error detected signal, wherein “1” represents the presence of an error and “0” represents the absence of an error, to the correction impossibility determinator <b>102</b>.

p-0097<figref idrefs="DRAWINGS">FIG. 14</figref> is a diagram showing an example of the configuration of the correction impossibility determinator <b>102</b>. As shown in <figref idrefs="DRAWINGS">FIG. 14</figref>, the correction impossibility determinator <b>102</b> includes a unit <b>111</b> that stores the results of the first error correction decoding, a selecting unit <b>112</b>, a padding counting unit <b>115</b>, a bit counting unit <b>119</b>, a block counting unit <b>113</b>, and a control unit <b>116</b>.

p-0098The unit <b>111</b> that stores the results of the first error correction decoding stores the results of the first error correction decoding received from the first-error-correction decoding unit <b>42</b>. The padding counting unit <b>115</b> counts a value in the padding counter, which indicates the current processing position in the padding area, and outputs the count to the control unit <b>116</b>. The bit counting unit <b>119</b> counts a value in the bit counter, which indicates the current processing position in the block BK, and outputs the count to the control unit <b>116</b> and the selecting unit <b>112</b>. The block counting unit <b>113</b> counts a value in the block counter, which indicates the current processing block position in the four blocks, and outputs the count to the control unit <b>116</b>. The selecting unit <b>112</b> outputs, to the control unit <b>116</b>, the results of the first error correction decoding in the block indicated by the value in the block counter and stored in the unit <b>111</b> that stores the results of the first error correction decoding. The control unit <b>116</b> determines the current processing position from the outputs of the padding counting unit <b>115</b>, the block counting unit <b>113</b>, and the bit counting unit <b>119</b> and determines, based on the results of the first error correction decoding stored in the unit <b>111</b> that stores the results of the first error correction decoding, whether the current processing position is an error-free area. Further, upon the receipt of an error detected signal (“1”) from the error locator calculator/error corrector <b>101</b>, when the current processing area is an error-free area, the control unit <b>116</b> determines that the error is uncorrectable. In this case, the control unit <b>116</b> ends the processing and outputs, to the selector <b>56</b>, an abnormal signal indicating that the error is uncorrectable.

p-0099<figref idrefs="DRAWINGS">FIG. 15</figref> is a flow chart that explains the operation of the correction impossibility determinator <b>102</b>. In <figref idrefs="DRAWINGS">FIG. 15</figref>, at the outset, the control unit <b>116</b> determines whether the error detected signal is “1” (step S<b>20</b>). When the error detected signal is “1” (“Yes” in step S<b>20</b>), the data before the error correction from the memory <b>52</b> are selected. In this case, the control unit <b>116</b> outputs the data to the host device <b>4</b> (step S<b>23</b>). On the other hand, when the error detected signal is not “1” (“NO” in step S<b>20</b>), the padding counting unit <b>115</b> increments the value in the padding counter by “1” (step S<b>24</b>) and determines that the value in the padding counter is equal to or not equal to the padding length (step S<b>25</b>). When the value in the padding counter is not equal to the padding length (“No” in step S<b>25</b>), the step is returned to step S<b>20</b>. On the other hand, when the value in the padding counter is equal to the padding length (“Yes” in step S<b>25</b>), whether the next error detected signal is “1” is determined (step S<b>21</b>).

p-0100When the next error detected signal is not “1” (“No” in step S<b>21</b>), the step is transferred to step S<b>26</b>. On the other hand, when the error detected signal is “1” (“Yes” in step S<b>21</b>), whether the block indicated by the value in the block counter is other than the correcting object block is determined (step S<b>22</b>).

p-0101When the block indicated by the value in the block counter is other than the correcting object (“Yes” in step S<b>22</b>), the data before the correction are selected from the memory <b>52</b>. In this case, data are output to the host device <b>4</b> (step S<b>23</b>). On the other hand, when the block indicated by the value in the block counter is not other than the correcting object block (“No” in step S<b>22</b>), the step is transferred to step S<b>26</b>.

p-0102In step S<b>26</b>, the bit counting unit <b>119</b> increments the value in the bit counter by “1”, and whether the value in the bit counter is equal to the block size is determined (step S<b>27</b>). When the value in the bit counter is not equal to the block size (“NO” in step S<b>27</b>), the step is returned to step S<b>21</b>. On the other hand, when the value in the bit counter is equal to the block size (“Yes” in step S<b>27</b>), the block counting unit <b>113</b> increments the value in the block counter (step S<b>28</b>), and whether the value in the block counter is “4” is determined (step S<b>29</b>). When the value in the block counter is not “4” (“No” in step S<b>29</b>), the step is returned to step <b>21</b>. On the other hand, when the value in the block counter is “4” (“Yes” in step S<b>29</b>), the data subjected to error correction in the error locator calculator/error corrector <b>101</b> are transferred to the host device <b>4</b> (step S<b>30</b>).

p-0103As described above, according to the second embodiment, the correction impossibility determinator <b>102</b> determines, based on the results of the first error correction received from the first-error-correction decoding unit <b>42</b> and the error detected signal received from the error locator calculator/error corrector <b>101</b>, whether the error detected area is an error-free area (padding area and area which has been determined to be free from an error by the error detection). When the error detected area is an error-free area, the error is determined to be beyond the error correcting capability. Accordingly, whether an error is beyond the error correcting capability can be determined by using a simple configuration.

p-0104According to this embodiment, the block size is 32 bits, the BCH code size is 16 bits having a two-bit correcting capability, and the padding area is 111 bits. The present invention is not limited to these sizes, and the block size, the correcting capability and the size of the BCH code, and the size of the padding area each may be any value.

p-0105Further, according to this embodiment, the present invention is configured to be applicable to SSD having a NAND memory. Alternatively, the present invention may be configured to be applicable to SSD having other flash electrically erasable programmable read only memory (EEPROM) such as a NOR-type EEPROM.

p-0106Further, each of the functional blocks in each embodiment of the present invention can be realized as any one of or a combination of both a hardware and a computer software. Accordingly, each block will be explained below from the view point of these functions as a whole so that the blocks are clearly any of the above forms. Whether such functions are executed as the hardware or as the software depends upon specific embodiments or the restriction of design to the whole system. A person having ordinary skill in the art can realize these functions by various methods depending upon specific embodiments, and the determination of such realization is included in the scope of the present invention.

p-0107Additional advantages and modifications will readily occur to those skilled in the art. Therefore, the invention in its broader aspects is not limited to the specific details and representative embodiments shown and described herein.

p-0108Accordingly, various modifications may be made without departing from the spirit or scope of the general inventive concept as defined by the appended claims and their equivalents.