1. On constacyclic codes over [formula omitted] and their Gray images.
- Author
-
Shi, Minjia, Qian, Liqin, Sok, Lin, Aydin, Nuh, and Solé, Patrick
- Subjects
- *
CYCLIC codes , *BLOCK codes , *ERROR-correcting codes , *LINEAR codes , *NUMBER theory - Abstract
We first define a new Gray map from R = Z 4 + u Z 4 to Z 4 2 , where u 2 = 1 and study ( 1 + 2 u ) -constacyclic codes over R . Also of interest are some properties of ( 1 + 2 u ) -constacyclic codes over R . Considering their Z 4 images, we prove that the Gray images of ( 1 + 2 u ) -constacyclic codes of length n over R are cyclic codes of length 2 n over Z 4 . 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 Özen et al. [7] . [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF