Name
Title | ||
|---|---|---|
The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3 |
Abstract | ||
|---|---|---|
Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual γ-constacyclic codes, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given. Generators for the dual code are obtained from those of the original constacyclic code. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.disc.2019.05.001 | Discrete Mathematics |
Keywords | Field | DocType |
Chain rings,Complementary dual codes,Constacyclic codes,Frobenius rings,Reversible codes,Self-dual codes | Discrete mathematics,Algebraic number,Dual polyhedron,Residue field,Coprime integers,Mathematics,Dual code | Journal |
Volume | Issue | ISSN |
342 | 8 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C.A. Castillo-Guillén | 1 | 0 | 0.34 |
| Carlos Rentería-Márquez | 2 | 27 | 4.55 |
| E. Sarmiento-Rosales | 3 | 0 | 0.34 |
| H. Tapia-Recillas | 4 | 12 | 3.88 |
| Rafael H. Villarreal | 5 | 75 | 15.69 |