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arxiv: 1603.05894 · v1 · pith:G2N6JBXZnew · submitted 2016-03-18 · 💻 cs.IT · math.IT

On cyclic DNA codes over mathbb{F}₂+umathbb{F}₂+u²mathbb{F}₂

classification 💻 cs.IT math.IT
keywords mathbbcodescyclicconstraintevenlenghtinvestigatepresentations
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In the present paper we study the structure of cyclic DNA codes of even lenght over the ring $\mathbb{F}_2+u\mathbb{F}_2+u^2\mathbb{F}_2$ where $u^3=0$. We investigate two presentations of cyclic codes of even lenght over $\mathbb{F}_2+u\mathbb{F}_2+u^2\mathbb{F}_2$ satisfying the reverse constraint and reverse-complement constraint.

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