On the Differential Security of Multivariate Public Key Cryptosystems

摘要

Since the discovery of an algorithm for factoring and computing discrete logarithms in polynomial time on a quantum computer, the cryptographic community has been searching for an alternative for security in the approaching post-quantum world. One excellent candidate is multivariate public key cryptography. Though the speed and parame-terizable nature of such schemes is desirable, a standard metric for determining the security of a multivariate cryptosystem has been lacking. We present a reasonable measure for security against the common differential attacks and derive this measurement for several modern multivariate public key cryptosystems.