Key Agreement Scheme Based on Semi-Module Action Problem
The paper proposes a new type of semi-module problem,namely the tropical circulant matrix multiple cyclic exponentiation problem,and designs an MTI-based key agreement scheme based on this hard problem.Research analysis shows that the scheme possesses the ability to resist Burmester attacks,replay attacks,and parallel session attacks,thereby compensating for the defi-ciencies of current tropical semiring key agreement protocols.Since the tropical circulant matrix multiple cyclic exponentiation problem is a type of semigroup constructive membership prob-lems,this scheme also exhibits the characteristic of resisting quantum attacks.