System and method for updating keys used for public key cryptography

The embodiment of this invention claims a system comprises a (100), for providing public key sequence to receiving system (200), the sequence of each key and private key is related, and is suitable for key of password program. The issuing system (100) comprises a computing unit (110) and transmitting unit (120). The computing unit (110) is configured to: The producing the sequence of common key and related key, and calculated multiple data device, wherein multiple data to the data device comprises a base and a data. The data value is applied to the plurality of a hash function the lower dataset obtained, wherein the second data set, comprising the sequence of the key base. The transmitting unit (120) is provided with a configuration of multiple data to electrically connected with the receiving system (200).