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Bounds for DNA codes with constant GC-content

Oliver D. King
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Abstract

We derive theoretical upper and lower bounds on the maximum size of DNA codes of length n with constant GC-content w and minimum Hamming distance d, both with and without the additional constraint that the minimum Hamming distance between any codeword and the reverse-complement of any codeword be at least d. We also explicitly construct codes that are larger than the best previously-published codes for many choices of the parameters n, d and w.

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Oliver D. King. 2004-02-26. Bounds for DNA codes with constant GC-content. https://arxiv.org/abs/math/0306197

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