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## On DNA codes from a family of chain rings

#### Elif Segah Oztas [1] , Bahattin Yildiz [2] , Irfan Siap [3]

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In this work, we focus on reversible cyclic codes which correspond to reversible DNA codes or reversible-complement DNA codes over a family of finite chain rings, in an effort to extend what was done by Yildiz and Siap in \cite{YildizSiap}. The ring family that we have considered are of size $2^{2^k}$, $k=1,2, \cdots$ and we match each ring element with a DNA $2^{k-1}$-mer. We use the so-called $u^2$-adic digit system to solve the reversibility problem and we characterize cyclic codes that correspond to reversible-complement DNA-codes. We then conclude our study with some examples.
Cyclic codes, Chain rings, Reversible codes, DNA codes
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Konular Mühendislik Makaleler Yazar: Elif Segah Oztas Yazar: Bahattin Yildiz Yazar: Irfan Siap
 Bibtex @araştırma makalesi { jacodesmath284571, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {Yıldız Teknik Üniversitesi}, year = {}, volume = {4}, pages = {93 - 102}, doi = {10.13069/jacodesmath.96056}, title = {On DNA codes from a family of chain rings}, key = {cite}, author = {Siap, Irfan and Oztas, Elif Segah and Yildiz, Bahattin} } APA Oztas, E , Yildiz, B , Siap, I . (). On DNA codes from a family of chain rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 4 (1), 93-102. DOI: 10.13069/jacodesmath.96056 MLA Oztas, E , Yildiz, B , Siap, I . "On DNA codes from a family of chain rings". Journal of Algebra Combinatorics Discrete Structures and Applications 4 (): 93-102 Chicago Oztas, E , Yildiz, B , Siap, I . "On DNA codes from a family of chain rings". Journal of Algebra Combinatorics Discrete Structures and Applications 4 (): 93-102 RIS TY - JOUR T1 - On DNA codes from a family of chain rings AU - Elif Segah Oztas , Bahattin Yildiz , Irfan Siap Y1 - 2018 PY - 2018 N1 - doi: 10.13069/jacodesmath.96056 DO - 10.13069/jacodesmath.96056 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 93 EP - 102 VL - 4 IS - 1 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.96056 UR - http://dx.doi.org/10.13069/jacodesmath.96056 Y2 - 2018 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications On DNA codes from a family of chain rings %A Elif Segah Oztas , Bahattin Yildiz , Irfan Siap %T On DNA codes from a family of chain rings %D 2018 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 4 %N 1 %R doi: 10.13069/jacodesmath.96056 %U 10.13069/jacodesmath.96056 ISNAD Oztas, Elif Segah , Yildiz, Bahattin , Siap, Irfan . "On DNA codes from a family of chain rings". Journal of Algebra Combinatorics Discrete Structures and Applications 4 / 1 93-102. http://dx.doi.org/10.13069/jacodesmath.96056