On Cyclic DNA Codes

Kenza Guenda; T. Aaron Gulliver

On Cyclic DNA Codes

Information Theory 2012-12-21 v3 math.IT Other Quantitative Biology

Authors: Kenza Guenda , T. Aaron Gulliver

Abstract

This paper considers cyclic DNA codes of arbitrary length over the ring $R=\F_2[u]/u^4-1$ . A mapping is given between the elements of $R$ and the alphabet $\{A,C,G,T\}$ which allows the additive stem distance to be extended to this ring. Cyclic codes over $R$ are designed such that their images under the mapping are also cyclic or quasi-cyclic of index 2. The additive distance and hybridization energy are functions of the neighborhood energy.

Keywords

coding theory maximum distance separable code

Cite

@article{arxiv.1209.4414,
  title  = {On Cyclic DNA Codes},
  author = {Kenza Guenda and T. Aaron Gulliver},
  journal= {arXiv preprint arXiv:1209.4414},
  year   = {2012}
}

Comments

there is an error in Lemma 3.4

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