On DNA codes from a family of chain rings

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Elif Segah Oztas¹  Bahattin Yildiz  Irfan Siap¹ 

[1] Department of Mathematics, Yildiz Technical University

关键词: Cyclic codes;    Chain rings;    Reversible codes;    DNA codes;   

DOI  :  10.13069/jacodesmath.96056

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

In this work, we focus on reversible cyclic codes which correspond to reversible DNA codes orreversible-complement DNA codes over a family of finite chain rings, in an effort to extend whatwas done by Yildiz and Siap in [20]. The ring family that we have considered are of size 22k,k = 1, 2, · · · and we match each ring element with a DNA 2k−1-mer. We use the so-called u2-adicdigit system to solve the reversibility problem and we characterize cyclic codes that correspond toreversible-complement DNA-codes. We then conclude our study with some examples.

【 授权许可】

CC BY