English

On cyclic DNA codes over the Ring $\Z_4 + u \Z_4$

Information Theory 2015-08-11 v1 math.IT

Abstract

In this paper, we study the theory for constructing DNA cyclic codes of odd length over Z4[u]/u2\Z_4[u]/\langle u^2 \rangle which play an important role in DNA computing. Cyclic codes of odd length over Z4+uZ4\Z_4 + u \Z_4 satisfy the reverse constraint and the reverse-complement constraint are studied in this paper. The structure and existence of such codes are also studied. The paper concludes with some DNA example obtained via the family of cyclic codes.

Keywords

Cite

@article{arxiv.1508.02015,
  title  = {On cyclic DNA codes over the Ring $\Z_4 + u \Z_4$},
  author = {Sukhamoy Pattanayak and Abhay Kumar Singh},
  journal= {arXiv preprint arXiv:1508.02015},
  year   = {2015}
}

Comments

16 pages

R2 v1 2026-06-22T10:29:23.749Z