Abstract: For effecting cryptographic communications between entities i, j using a common cryptokey, each of the entities i, j generates a common cryptokey by applying an identifier transformation algorithm and a secret private key, which have previously been distributed from a center, to the identifier of the other entity with which to communicate (step 3). In a transmitting side, one-time pass cryptographic communication random number data are generated and encrypted by the common cryptokey, a plaintext is encrypted using the random number data, and the encrypted random number data and the encrypted plaintext are combined into an encrypted communication text (step 4). In a receiving side, the encrypted random number data in the encrypted communication text are decrypted using the common cryptokey, and the encrypted plaintext is decrypted using the decrypted random number data as a key (step 5).

Abstract: In a center, a Fourier transformation with a weighting function and a center matrix are applied to the identifier of each entity (steps 2-1, 2-2), which is then randomized by one-time pass random number data generated by a manual operation at each entity, thereby generating a secret private key peculiar to each entity (steps 2-3.about.2-5). The center also generates an identifier transformation algorithm based on the one-time pass random number data and the Fourier transformation with a weighting function (step 2-6). Thereafter, the center distributes the identifier transformation algorithm and the secret private key to each entity. Each entity applies the identifier transformation algorithm and the secret private key to the identifier of another entity with which to communicate, for thereby generating a common cryptokey for cryptographic communications between the entities.