1. A study on structure of codes over Z4 + uZ4 + vZ4.
- Author
-
Karthick, G.
- Subjects
GRAPHIC methods ,LINEAR codes ,CYCLIC codes ,ALGEBRAIC codes ,MATHEMATICS - Abstract
We study (1 + 2u + 2v)-constacyclic code over a semi-local ring S = Z
4 + uZ4 + vZ4 with the condition u² = 3u, v² = 3v, and uv = vu = 0, we show that (1+2u+2v)-constacyclic code over S is equivalent to quasi-cyclic code over Z4 by using two new Gray maps from S to Z4 . Also, for odd length n we have defined a generating set for constacyclic codes over S. Finally, we obtained some examples which are new to the data base [Database of Z4 codes [online], http://Z4 Codes.info(Accessed March 2, 2020)]. [ABSTRACT FROM AUTHOR]- Published
- 2024
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