<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with <italic>p</italic><sup>5</sup> elements (<italic>p</italic> a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.</p></abstract>

The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Universidades para el Bienestar Benito Juárez García

Department of Mathematics, Escuela Superior de Física y Matemáticas

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain...

Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Publié en ligne: 22 sept. 2020

Pages: 67 - 91

Reçu: 11 oct. 2019

Accepté: 13 nov. 2019

DOI: https://doi.org/10.2478/auom-2020-0020

Mots clés
Chain rings, Commutative finite local rings, Constacyclic codes, Frobenius local rings

© 2020 C. A. Castillo-Guillén et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Publié en ligne: 22 sept. 2020

Pages: 67 - 91

Reçu: 11 oct. 2019

Accepté: 13 nov. 2019

DOI: https://doi.org/10.2478/auom-2020-0020

Mots clésChain rings, Commutative finite local rings, Constacyclic codes, Frobenius local rings

© 2020 C. A. Castillo-Guillén et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Chain rings, Commutative finite local rings, Constacyclic codes, Frobenius local rings