Cyclic DNA codes over F2+uF2+vF2+uvF2
Information Theory
2015-08-31 v1 math.IT
Abstract
In this work, we study the structure of cyclic DNA codes of arbitrary lengths over the ring R=F2+uF2+vF2+uvF2 and establish relations to codes over R1=F2+uF2 by defining a Gray map between R and R1^2 where R1 is the ring with 4 elements. Cyclic codes of arbitrary lengths over R satisfied the reverse constraint and the reverse-complement constraint are studied in this paper. The GC content constraint is considered in the last.
Keywords
Cite
@article{arxiv.1508.07113,
title = {Cyclic DNA codes over F2+uF2+vF2+uvF2},
author = {Shixin Zhu and Xiaojing Chen},
journal= {arXiv preprint arXiv:1508.07113},
year = {2015}
}