On Cyclic and Negacyclic Codes of Length 8ps Over Fpm + uFpm

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Authors

  • Saroj Rani
     Department of Mathematics, S. A. Jain P. G. College, Ambala City 134003 ,IN

DOI:

https://doi.org/10.18311/jims/2020/23906

Keywords:

Cyclic codes, negacyclic codes, constacyclic codes, dual codes, self-dual codes.
94B15

Abstract

In this paper, we establish the algebraic structure of all cyclic and negacyclic codes of length 8ps over the chain ring Fpm + uFpm in terms of their generator polynomials, where u2 = 0 and s is a positive integer and p is an odd prime. We also find out the number of codewords in each of these cyclic codes. Besides this, we determine duals of cyclic codes and list self-dual cyclic and negacyclic codes of length 8ps over Fpm + uFpm. Also, we determine μ and -constacyclic codes of length 8ps over Fpm + uFpm.

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Published

2020-07-01

How to Cite

Rani, S. (2020). On Cyclic and Negacyclic Codes of Length 8p<sup>s</sup> Over Fp<sup>m</sup> + uFp<sup>m</sup>. The Journal of the Indian Mathematical Society, 87(3-4), 231–260. https://doi.org/10.18311/jims/2020/23906

Issue

Volume 87, Issue 3-4, July-December 2020

Section

Articles

License

Copyright (c) 2020 Saroj Rani

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2019-07-10
Accepted 2023-01-30
Published 2020-07-01

 

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