

A179183


The size of an optimal binary code of length n and edit distance 3.


2




OFFSET

2,2


COMMENTS

The edit distance between two words u and v is defined to be the minimum number of deletions, insertions, or substitutions required to change u to v.


LINKS

Table of n, a(n) for n=2..9.
Sheridan Houghten, A Table of Bounds on Optimal FixedLength Binary EditMetric Codes


EXAMPLE

For n = 5, one can choose at most a(5) = 4 codewords at edit distance at least 3 from each other. One choice of 4 such codewords is 00110, 01001, 10000, and 11111.  Pontus von Brömssen, Dec 05 2018


CROSSREFS

Cf. A230380, A230381
Sequence in context: A032162 A000983 A095325 * A325786 A244457 A325908
Adjacent sequences: A179180 A179181 A179182 * A179184 A179185 A179186


KEYWORD

nonn,more


AUTHOR

Yeow Meng Chee (ymchee(AT)ntu.edu.sg), Jul 01 2010


EXTENSIONS

a(9), modified name and comment from Sheridan Houghten, Oct 18 2013
Offset corrected by Pontus von Brömssen, Dec 05 2018


STATUS

approved



