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A Class of Non Invertible Matrices in GF(2) for Practical One Way Hash Algorithm

by Artan Berisha, Behar Baxhaku, Artan Alidema
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 54 - Number 18
Year of Publication: 2012
Authors: Artan Berisha, Behar Baxhaku, Artan Alidema
10.5120/8667-2574

Artan Berisha, Behar Baxhaku, Artan Alidema . A Class of Non Invertible Matrices in GF(2) for Practical One Way Hash Algorithm. International Journal of Computer Applications. 54, 18 ( September 2012), 19-20. DOI=10.5120/8667-2574

@article{ 10.5120/8667-2574,
author = { Artan Berisha, Behar Baxhaku, Artan Alidema },
title = { A Class of Non Invertible Matrices in GF(2) for Practical One Way Hash Algorithm },
journal = { International Journal of Computer Applications },
issue_date = { September 2012 },
volume = { 54 },
number = { 18 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 19-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume54/number18/8667-2574/ },
doi = { 10.5120/8667-2574 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:56:01.678583+05:30
%A Artan Berisha
%A Behar Baxhaku
%A Artan Alidema
%T A Class of Non Invertible Matrices in GF(2) for Practical One Way Hash Algorithm
%J International Journal of Computer Applications
%@ 0975-8887
%V 54
%N 18
%P 19-20
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we describe non invertible matrix in GF(2) which can be used as multiplication matrix in Hill Cipher technique for one way hash algorithm. The matrices proposed are permutation matrices with exactly one entry 1 in each row and each column and 0 elsewhere. Such matrices represent a permutation of m elements. Since the invention, Hill cipher algorithm was used for symmetric encryption, where the multiplication matrix is the key. The Hill cipher requires the inverse of the matrix to recover the plaintext from cipher text. We propose a class of matrices in GF(2) which are non invertible and easy to generate.

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Index Terms

Computer Science
Information Sciences

Keywords

Hill cipher technique Non-invertible matrix Galois field GF(2) hash algorithm One-way hash function plaintext integrity

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