English

On Single-Deletion-Correcting Codes

Combinatorics 2014-09-18 v1 Information Theory math.IT

Abstract

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.

Cite

@article{arxiv.math/0207197,
  title  = {On Single-Deletion-Correcting Codes},
  author = {N. J. A. Sloane},
  journal= {arXiv preprint arXiv:math/0207197},
  year   = {2014}
}

Comments

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