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Construction of Maximum Distance Separable Rhotrices using Cauchy Rhotrices over Finite Fields

by P. L. Sharma, Shalini Gupta, Neetu Dhiman
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 168 - Number 9
Year of Publication: 2017
Authors: P. L. Sharma, Shalini Gupta, Neetu Dhiman
10.5120/ijca2017914489

P. L. Sharma, Shalini Gupta, Neetu Dhiman . Construction of Maximum Distance Separable Rhotrices using Cauchy Rhotrices over Finite Fields. International Journal of Computer Applications. 168, 9 ( Jun 2017), 8-17. DOI=10.5120/ijca2017914489

@article{ 10.5120/ijca2017914489,
author = { P. L. Sharma, Shalini Gupta, Neetu Dhiman },
title = { Construction of Maximum Distance Separable Rhotrices using Cauchy Rhotrices over Finite Fields },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2017 },
volume = { 168 },
number = { 9 },
month = { Jun },
year = { 2017 },
issn = { 0975-8887 },
pages = { 8-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume168/number9/27901-2017914489/ },
doi = { 10.5120/ijca2017914489 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:15:40.010997+05:30
%A P. L. Sharma
%A Shalini Gupta
%A Neetu Dhiman
%T Construction of Maximum Distance Separable Rhotrices using Cauchy Rhotrices over Finite Fields
%J International Journal of Computer Applications
%@ 0975-8887
%V 168
%N 9
%P 8-17
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Maximum distance separable (MDS) matrices are important in cryptography and particularly used in block ciphers due to their properties of diffusion. Rhotrices are represented by the coupled matrices. Therefore, maximum distance separable rhotrices are of much interest in the context of cryptography. In this paper, we define Cauchy rhotrix and then use it to construct MDS rhotrices over finite fields.

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Index Terms

Computer Science
Information Sciences

Keywords

Cauchy rhotrix Finite field Maximum distance separable rhotrix Circulant rhotrix Vandermonde rhotrix.

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