On some constacyclic codes over the ring Fpm[u]∕〈u4〉
| Autor: | H.R. Mahmoodi, R. Sobhani |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Discrete mathematics
Ring (mathematics) 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology 01 natural sciences Prime (order theory) Theoretical Computer Science Combinatorics Chain (algebraic topology) Integer 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Discrete Mathematics and Combinatorics Mathematics |
| Zdroj: | Discrete Mathematics. 341:3106-3122 |
| ISSN: | 0012-365X |
| DOI: | 10.1016/j.disc.2018.07.024 |
| Popis: | Let R be the finite chain ring R = F p m [ u ] ∕ 〈 u 4 〉 , where p is a prime and m is a positive integer. In this work, we give a complete classification of ( 1 + α u 2 ) -constacyclic codes of length p k over R , where α is a nonzero element of F p m . We also completely determine self-dual such codes and enumerate them. Finally we discuss on Gray-maps on R which preserve self-duality, and also discuss on the images of self-dual constacyclic codes under these Gray maps. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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