The hill-cipher algorithm in Gaussian integers

Abstract EN

The Hill Cipher is a first-generation polygraphic substitution cipher that can be used with any size block, digraph, or trigraph (3-letter squares).

The Hill Cipher makes use of a branch of mathematics known as linear algebra, and it notably calls for the client to have some familiarity with matrices.

Additionally, Modulo Arithmetic is utilized (like the Affine Cipher).

The hill cipher requires the inverse of the key matrix to conduct decryption.

Due to the fact that no key matrix is invertible, this is the main weakness of the Hill cipher.

We'll suggest the generalization of the Hill Cipher employing matrices in the Gaussian integers will be covered in this work.