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Title of Journal: J Appl Math Comput

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Abbravation: Journal of Applied Mathematics and Computing

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Springer Berlin Heidelberg

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DOI

10.1007/bf00897760

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1865-2085

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Cyclic DNA codes over mathbb F 2+umathbb F

Authors: Shixin Zhu Xiaojing Chen
Publish Date: 2016/09/24
Volume: 55, Issue: 1-2, Pages: 479-493
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Abstract

In this paper we study the structure of cyclic DNA codes of arbitrary length over the ring R=mathbb F 2+umathbb F 2+vmathbb F 2+uvmathbb F 2 u2=0 v2=v uv=vu By defining a Gray map we establish a relation between R and R2 1 where R 1=mathbb F 2+umathbb F 2 is a ring with four elements Cyclic codes of arbitrary length over R satisfying the reverse constraint and the reversecomplement constraint are studied in this paper Furthermore we introduce reversible codes which provide a rich source for DNA codes The GC content constraint is also considered We give some examples to support our study in the last

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