학술논문
On the equivalence of two post-quantum cryptographic families
Document Type
Working Paper
Source
Subject
Language
Abstract
The Maximum Likelihood Decoding Problem (MLD) is known to be NP-hard and its complexity is strictly related to the security of some post-quantum cryptosystems, that is, the so-called code-based primitives. Analogously, the Multivariate Quadratic System Problem (MQ) is NP-hard and its complexity is necessary for the security of the so-called multivariate-based primitives. In this paper we present a closed formula for a polynomial-time reduction from any instance of MLD to an instance of MQ, and viceversa. We also show a polynomial-time isomorphism between MQ and MLD, thus demonstrating the direct link between the two post-quantum cryptographic families.
Comment: Accepted for publication in Annali di Matematica Pura ed Applicata (1923 -)
Comment: Accepted for publication in Annali di Matematica Pura ed Applicata (1923 -)