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arxiv: 1505.06262 · v1 · pith:OKVF2OEOnew · submitted 2015-05-23 · 💻 cs.IT · math.IT

Greedy Construction of DNA Codes and New Bounds

classification 💻 cs.IT math.IT
keywords codesboundscontentgreedymathbbalgorithmboundedconstant
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In this paper, we construct linear codes over $\mathbb{Z}_4$ with bounded $GC$-content. The codes are obtained using a greedy algorithm over $\mathbb{Z}_4$. Further, upper and lower bounds are derived for the maximum size of DNA codes of length $n$ with constant $GC$-content $w$ and edit distance $d$.

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