| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582627 | Finite Fields and Their Applications | 2017 | 20 Pages |
Abstract
The structure of λ -constacyclic codes of length 2s2s over the Galois ring GR(2a,m)GR(2a,m) is obtained, for any unit λ of the form 4z−14z−1, z∈GR(2a,m)z∈GR(2a,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others, this structure is used to establish the Hamming, homogeneous, and Rosenbloom–Tsfasman distances, and Rosenbloom–Tsfasman weight distribution of all such constacyclic codes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hai Q. Dinh, Hongwei Liu, Xiu-sheng Liu, Songsak Sriboonchitta,