Algebraic structure of cyclic codes over M3(Fp)
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Published:2024
Issue:1
Volume:27
Page:189-201
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ISSN:0972-0529
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Container-title:Journal of Discrete Mathematical Sciences & Cryptography
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language:
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Short-container-title:JDMSC
Author:
Islam Habibul,Prakash Om,Bhunia Dipak Kumar
Abstract
Let Fp be the finite field of order p and M3(Fp) the ring of 3 × 3 matrices over Fp, where p is a prime. For certain prime p, we determine the complete algebraic properties of cyclic codes of length N (p | N) over M3(Fp). We define an isometry from M3(Fp) to Fp3 + eFp3 + e2Fp3, where e3 = 1. As an outcome, we derive numerous optimal and good linear F8 codes induced from F8 -images of cyclic codes over M3(F2).
Publisher
Taru Publications