Omura-massey cyptosystem with authentication over polynomial rings with two cyclotomic cosets

Abstract

With the advantage of Polynomial rings, it is possible to calculate fast, simple installation, researching the application of polynomial rings for lightweight cryptography systems is considered suitable. Continuing the idea of applying polynomials to improve: the Omura-Massey cryptosystem as a cryptosystem that can be applied on a constraint device in article [2]; This article continues to improve the Omura-Massey cryptosystem by using polynomial polynomials to add an authentication attribute to the cryptosystem (1,2,3,4 corresponding to multiplication, addition, exponential, logarithmic on Polynomial ring).