A075937 List of codewords in binary lexicode with Hamming distance 7 written as decimal numbers.

0, 127, 1927, 2040, 6553, 6630, 7710, 7777, 10922, 10965, 11565, 11602, 13107, 13132, 13492, 13515, 19252, 19275, 19635, 19660, 21165, 21202, 21802, 21845, 24990, 25057, 26137, 26214, 30727, 30840, 32640, 32767, 98731, 98772, 99884

Offset

0,2

References

J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..8191

Bob Jenkins, Tables of Binary Lexicodes

Rémy Sigrist, C program for A075937

Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

Prog

(C) See Links section.

Crossrefs

Cf. A075928, A075929, A075930, A075938, A075939, A075940, A075931, A075943.

Sequence in context: A115153 A172408 A204216 * A075938 A258003 A258013

Adjacent sequences: A075934 A075935 A075936 * A075938 A075939 A075940

Keyword

nonn,base

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Status

approved