Name
Title | ||
|---|---|---|
Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3. |
Abstract | ||
|---|---|---|
The main results of this paper are in two directions. First, the family of finite local Frobenius non-chain rings of length 4 (hence of nilpotency index 3) is determined. As a by-product all finite local Frobenius non-chain rings with p4 elements, (p a prime) are given. Second, the number and structure of γ-constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3, of length relatively prime to the characteristic of the residue field of the ring, are determined. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.ffa.2016.08.004 | Finite Fields and Their Applications |
Keywords | Field | DocType |
13H99,94B15 | Prime (order theory),Length of a module,Combinatorics,Algebra,Residue field,Frobenius algebra,Von Neumann regular ring,Coprime integers,Mathematics,Frobenius group | Journal |
Volume | ISSN | Citations |
43 | 1071-5797 | 1 |
PageRank | References | Authors |
0.48 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. A. Castillo-Guillén | 1 | 1 | 0.48 |
| Carlos Rentería-Márquez | 2 | 1 | 0.48 |
| H. Tapia-Recillas | 3 | 12 | 3.88 |