Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771586 | Finite Fields and Their Applications | 2017 | 10 Pages |
Abstract
We first define a new Gray map from R=Z4+uZ4 to Z42, where u2=1 and study (1+2u)-constacyclic codes over R. Also of interest are some properties of (1+2u)-constacyclic codes over R. Considering their Z4 images, we prove that the Gray images of (1+2u)-constacyclic codes of length n over R are cyclic codes of length 2n over Z4. In many cases the latter codes have better parameters than those in the online database of Aydin and Asamov. We also give a corrected version of a table of new cyclic R-codes published by Ãzen et al. [7].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Minjia Shi, Liqin Qian, Lin Sok, Nuh Aydin, Patrick Solé,