LCD matrix product codes with an application-Reference-Cited by-同舟云学术

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LCD matrix product codes with an application

Published:2022-05-20 Issue:04 Volume:15 Page:
ISSN:1793-8309
Container-title:Discrete Mathematics, Algorithms and Applications
language:en
Short-container-title:Discrete Math. Algorithm. Appl.

Author:

Bhowmick Sanjit¹,Bagchi Satya¹^ORCID,Bandi Ramakrishna²

Affiliation:

1. Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India

2. Centre for Applied Mathematics, Dr. SPM International Institute of Information Technology, Naya Raipur, India

Abstract

Matrix product (MP) codes over a finite field [Formula: see text], where [Formula: see text] a prime power, were first introduced by Blackmore and Norton [MP codes over [Formula: see text], Appl. Algebra Engrg. Comm. Comput. 12 (2001) 477–500]. This paper investigates linear complementary dual (LCD) MP codes over finite commutative Frobenius rings. We derive a necessary and sufficient condition for an MP code to have an LCD. We provide some efficient constructions of LCD MP codes. Finally, we have shown an application on cryptography of LCD codes.

Funder

National Board for Higher Mathematics

Publisher

World Scientific Pub Co Pte Ltd

Subject

Discrete Mathematics and Combinatorics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179383092250104X

Reference17 articles.

1. A Multisecret-Sharing Scheme Based on LCD Codes

2. Do non-free LCD codes over finite commutative Frobenius rings exist?

3. Matrix-Product Codes over ? q

4. Multisecret-sharing schemes and bounded distance decoding of linear codes

5. On $\sigma$ -LCD Codes

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