Algebraic Methods for Cryptographic Bijective Functions

EasyChair Preprint 5137

Abstract

In this paper , we study an encryption scheme based on group algebra over the boolean ring R.The key idea of the proposal is that for a given commutative ring , we can different functions over the ring of integers mod N , Z( N ) and use them as the underlying structure. Using this group algebra RG , we are giving a criterion to encrypt the message and to retrieve it using the invertibility of the latin square over R .

Keyphrases: Boolean rings, Cryptographic bijective functions, automorphism, trace

@booklet{EasyChair:5137,
  author    = {Narayanaswamy Chandramowliswaran},
  title     = {Algebraic Methods for Cryptographic Bijective Functions},
  howpublished = {EasyChair Preprint 5137},
  year      = {EasyChair, 2021}}