使用者自主性決定私密金鑰之非對稱式密碼術與其系統

A method of creating a cryptosystem based on asymmetric cryptography, comprising: allowing a user to discretionarily select a private key; using the private key as an input in a public-key generation process to produce a public key; and using the private key and the public key in either one of a first application where the private key is used in digital signature computation while the public key is used in digital signature validation or a second application where the public key is used in message encryption while the private key is used in cipher decryption. Several processes and techniques for creating cryptosystems are disclosed. Cryptosystems created accordingly use a personalized secret such as a user-chosen password as a private key and a trio consisting of a first public exponent, a second public exponent, and a modulus as a public key. The public key and the private key form a public/private key pair. Selection of the personalized secret is discretionary and uses no information about the public key.