The Structure of Z_2[u]Z_2[u, v]-additive Codes
Information Theory
2016-01-20 v1 math.IT
Abstract
In this paper, we study the algebraic structure of Z_2[u]Z_2[u, v]-additive codes which are Z_2[u, v]-submodules where u^2 = v^2 = 0 and uv = vu. In particular, we determine a Gray map from Z_2[u]Z_2 [u, v] to Z_2^{2{\alpha}+8\b{eta}} and study generator and parity check matrices for these codes. Further we study the structure of Z_2[u]Z_2[u, v]-additive cyclic codes and constacyclic codes.
Keywords
Cite
@article{arxiv.1601.04859,
title = {The Structure of Z_2[u]Z_2[u, v]-additive Codes},
author = {N. Annamalai and C. Durairajan},
journal= {arXiv preprint arXiv:1601.04859},
year = {2016}
}