In this article, we have discussed thel-cyclotomic cosets modulo n=p1p2p3, where p1, p2, and p3 are distinct odd primes and gcd(l, n)=1. We have also represented cyclotomic cosets in terms of units modulo pi (i = 1, 2, 3). These alternative forms are very useful in the study of cyclic codes of length n = p1p2p3. Hence, using these alternative forms, we have obtained the expressions of minimal cyclic codes of length p1p2p3 over GF(2).
| Published in | Abstract Book of the National Conference on Advances in Basic Science & Technology |
| Page(s) | 51-51 |
| Creative Commons |
This is an Open Access abstract, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Cosets, Coding, Computational Physics
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