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Azhar O. Almalki and Ahmed A. Khammash, Cyclic codes and primitive idempotents in the finite cyclic group algebras, Eur. J. Math. Appl. 2 (2022), Article ID 10.

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Volume 2 (2022), Article ID 10

https://doi.org/10.28919/ejma.2022.2.10

Published: 01/06/2022

Abstract:

We parallelly discuss the construction of cyclic linear codes as ideals in the finite cyclic group ring as well as zero-divisors therein. We also determine a complete set of primitive idempotents in the finite cyclic group ring over a field of characteristic $p$.

How to Cite:

Azhar O. Almalki and Ahmed A. Khammash, Cyclic codes and primitive idempotents in the finite cyclic group algebras, Eur. J. Math. Appl. 2 (2022), Article ID 10. https://doi.org/10.28919/ejma.2022.2.10