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

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 elements ( a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of lengt...

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Published inAnalele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 28; no. 2; pp. 67 - 91
Main Authors Castillo-Guillén, C. A., Rentería-Márquez, C.
Format Journal Article
LanguageEnglish
Published Sciendo 01.07.2020
Subjects
Chain rings
Commutative finite local rings
Constacyclic codes
Frobenius local rings
Primary 94B15
Secondary 13H99
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Summary: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 elements ( 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.
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2020-0020