Construction of Cyclic Codes over $\mathbb{F}_2+u\mathbb{F}_2$ for DNA Computing

Kenza Guenda; T. Aaron Gulliver

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arXiv · 1207.3385

Construction of Cyclic Codes over $\mathbb{F}_2+u\mathbb{F}_2$ for DNA Computing

Kenza Guenda·T. Aaron Gulliver

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Abstract

We construct codes over the ring $\mathbb{F}_2+u\mathbb{F}_2$ with $u^2=0$. These code are designed for use in DNA computing applications. The codes obtained satisfy the reverse complement constraint, the $GC$ content constraint and avoid the secondary structure. they are derived from the cyclic complement reversible codes over the ring $\mathbb{F}_2+u\mathbb{F}_2$. We also construct an infinite family of BCH DNA codes.

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Kenza Guenda, T. Aaron Gulliver. 2012-07-14. Construction of Cyclic Codes over $\mathbb{F}_2+u\mathbb{F}_2$ for DNA Computing. https://arxiv.org/abs/1207.3385

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