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 in | Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 28; no. 2; pp. 67 - 91 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Sciendo
01.07.2020
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1844-0835 1844-0835 |
DOI: | 10.2478/auom-2020-0020 |