A075931 List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.

0, 31, 227, 252, 805, 826, 966, 985, 1354, 1365, 1449, 1462, 1647, 1648, 1676, 1683, 6182, 6201, 6341, 6362, 6915, 6940, 7136, 7167, 7532, 7539, 7567, 7568, 7753, 7766, 7850, 7861, 10315, 10324, 10408, 10423, 11118, 11121, 11149, 11154

Offset

0,2

Links

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

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.

Bob Jenkins, Tables of Binary Lexicodes

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

Prog

(PARI) a=vector(40); n=0; for (k=0, 11154, if (n==0 || vecmin(apply(o -> hammingweight(bitxor(k, o)), a[1..n]))>=5, print1 (a[n++]=k", "))) \\ Rémy Sigrist, Feb 09 2021

Crossrefs

Cf. A075928, A075929, A075930, A075932, A075933, A075924, A075926, A075937.

Sequence in context: A142939 A229018 A036335 * A142440 A075932 A161747

Adjacent sequences: A075928 A075929 A075930 * A075932 A075933 A075934

Keyword

nonn,base

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Status

approved