Construction of optimal codes in deletion and insertion metric

Computer Science – Information Theory

Scientific paper

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20 pages, The material of this paper was presented in part at the 10th International Workshop on Algebraic and Combinatorial C

Scientific paper

We improve Levenshtein's upper bound for the cardinality of a code of length
four that is capable of correcting single deletions over an alphabet of even
size. We also illustrate that the new upper bound is sharp. Furthermore we
construct an optimal perfect code that is capable of correcting single
deletions for the same parameters.

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