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arxiv: math/0306197 · v2 · submitted 2003-06-12 · 🧮 math.CO · q-bio.BM

Bounds for DNA codes with constant GC-content

classification 🧮 math.CO q-bio.BM
keywords codesboundscodewordconstantdistancegc-contenthammingminimum
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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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