Algebraic Methods for Cryptographic Bijective Functions

EasyChair Preprint no. 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: automorphism, Boolean rings, Cryptographic bijective functions, trace

@Booklet{EasyChair:5137,
  author = {Narayanaswamy Chandramowliswaran},
  title = {Algebraic Methods for Cryptographic Bijective Functions},
  howpublished = {EasyChair Preprint no. 5137},

  year = {EasyChair, 2021}}