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 p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of l...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-07-01
|
| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2020-0020 |
| _version_ | 1811272279931224064 |
|---|---|
| author | Castillo-Guillén C. A. Rentería-Márquez C. |
| author_facet | Castillo-Guillén C. A. Rentería-Márquez C. |
| author_sort | Castillo-Guillén C. A. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T22:37:32Z |
| format | Article |
| id | doaj.art-9f35f0a0b81c471191cd6155c0612ae3 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-12T22:37:32Z |
| publishDate | 2020-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-9f35f0a0b81c471191cd6155c0612ae32022-12-22T03:13:50ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352020-07-01282679110.2478/auom-2020-0020Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4Castillo-Guillén C. A.0Rentería-Márquez C.1Department of Mathematics, Universidades para el Bienestar Benito Juárez García, Tláhuac Ave 6391, 13360 Ciudad de México, México.Department of Mathematics, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Instituto Politécnico Nacional Ave s/n, 07300, Ciudad de México, MéxicoThe 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.https://doi.org/10.2478/auom-2020-0020chain ringscommutative finite local ringsconstacyclic codesfrobenius local ringsprimary 94b15secondary 13h99 |
| spellingShingle | Castillo-Guillén C. A. Rentería-Márquez C. Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica chain rings commutative finite local rings constacyclic codes frobenius local rings primary 94b15 secondary 13h99 |
| title | Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 |
| title_full | Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 |
| title_fullStr | Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 |
| title_full_unstemmed | Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 |
| title_short | Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 |
| title_sort | constacyclic codes over finite local frobenius non chain rings of length 5 and nilpotency index 4 |
| topic | chain rings commutative finite local rings constacyclic codes frobenius local rings primary 94b15 secondary 13h99 |
| url | https://doi.org/10.2478/auom-2020-0020 |
| work_keys_str_mv | AT castilloguillenca constacycliccodesoverfinitelocalfrobeniusnonchainringsoflength5andnilpotencyindex4 AT renteriamarquezc constacycliccodesoverfinitelocalfrobeniusnonchainringsoflength5andnilpotencyindex4 |