Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582623 | Finite Fields and Their Applications | 2017 | 21 Pages |
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 p4p4 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C.A. Castillo-Guillén, C. Rentería-Márquez, H. Tapia-Recillas,