On Single-Deletion-Correcting Codes

Mathematics – Combinatorics

Scientific paper

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23 pages, 1 figure. Dedicated to Dijen Ray-Chaudhuri on the occasion of his 65th birthday

Scientific paper

This paper gives a brief survey of binary single-deletion-correcting codes.
The Varshamov-Tenengolts codes appear to be optimal, but many interesting
unsolved problems remain. The connections with shift-register sequences also
remain somewhat mysterious.

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