Quantum-safe cryptographic method and system

Abstract

A cryptographic method and system. A plurality of ciphers is identified in a message received by a recipient, such message encrypting a digital asset. A private key associated with the recipient is obtained. The private key corresponds to a public key associated with the recipient. The method includes solving for x in the equation: [(f(R'mod S)+′+f(R′mod S))/(h(R′mod S)+′+h(R′mod S))]*h(x)−f(x)=0 mod p, where (i)′,′,′, and′correspond to the ciphers in the received message; (ii) R, Rand S are data elements of the private key; (iii) f(·) is a polynomial function defined by coefficients f, f, . . . fthat are also data elements of the private key; and (iv) h(·) is a polynomial function defined by coefficients h, h, . . . hthat are also data elements of the private key. The value of x is assigned to the digital asset, which is then stored in non-transitory memory or packaged in a message sent over the data network.