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Abstract: . A survey of binary single-deletion-correcting codes. The VarshamovTenengolts codes appear to be optimal, but many interesting unsolved problems remain. The connections with shift-register sequences also remain somewhat mysterious. 1991 Mathematics Subject Classification: primary 94B60; secondary 94A55. 1. Introduction The possibility of packet loss on internet transmissions has renewed interest in deletion-correcting codes. (Of course there are many other applications of such codes, including ... (Update)
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BibTeX entry: (Update)
N J A. Sloane. On Single-Deletion-Correcting Codes. To appear in D. Ray-Chaudhuri Festschrift, 2001. See: http://www.research.att.com/ njas/doc/dijen.ps. http://citeseer.ist.psu.edu/sloane01singledeletioncorrecting.html More
@misc{ sloane01singledeletioncorrecting,
author = "N. Sloane",
title = "On Single-Deletion-Correcting Codes",
text = "N J A. Sloane. On Single-Deletion-Correcting Codes. To appear in D. Ray-Chaudhuri
Festschrift, 2001. See: http://www.research.att.com/ njas/doc/dijen.ps.",
year = "2001",
url = "citeseer.ist.psu.edu/sloane01singledeletioncorrecting.html" }
Citations (may not include all citations):860 The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
267 Enumerative Combinatorics (context) - Stanley - 1999
182 Algebraic Coding Theory (context) - Berlekamp - 1968
170 Shift Register Sequences (context) - Golomb - 1967
104 Introduction to Analytic Number Theory (context) - Apostol - 1976
92 Line Encyclopedia of Integer Sequences - Sloane, On-
44 A Handbook of Integer Sequences (context) - Sloane - 1973
25 A linear time erasure resilient code with nearly optimal rec.. - Alon, Luby - 1996
22 Binary codes capable of correcting spurious insertions and d.. (context) - Levenshtein - 1965
16 Handbook of Coding Theory (context) - Pless, Hu - 1998
14 Lower bounds for constant weight codes (context) - Graham, Sloane - 1980
11 Symmetry types of periodic sequences (context) - Gilbert, Riordan - 1961
10 Complexity issues in coding theory - Barg - 1998
7 the capabilities of codes to correct synchronization errors (context) - Ullman - 1967
5 A theorem of Dickson on irreducible polynomials (context) - Carlitz - 1952
[Article contains additional citations not shown here]
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