cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A075944 Basis for code in A075943.

Original entry on oeis.org

511, 15887, 116275, 412245, 693418, 3165290, 12603032, 21139155, 38803550, 201349286, 336626733, 609260174, 3221261509, 5374090380, 25769843817, 43016936625, 78384372260, 412317013686, 687266122367, 1238028666383
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

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.

Crossrefs

Formula

a(n) = b(2^n), where b is A075943, the binary lexicode, d=9.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075945 Positions of check bits in code in A075943.

Original entry on oeis.org

255, 3855, 13107, 21845, 27306, 38506, 71576, 92115, 101470, 138406, 172589, 240014, 272069, 380556, 536169, 679601, 847140, 1072054, 1258879, 1397519, 2005450, 2121415, 2496892, 2738813, 3993667, 4241896, 4617503, 5821704
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

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.

Crossrefs

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

Original entry on oeis.org

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

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

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.

Crossrefs

Programs

  • C
    See Links section.

A075946 List of codewords in binary lexicode with Hamming distance 10 written as decimal numbers.

Original entry on oeis.org

0, 1023, 31775, 32736, 232551, 233368, 258168, 258951, 824491, 825172, 846004, 846667, 989388, 990003, 1008851, 1009452, 1386837, 1387178, 1398090, 1398453, 1484082, 1484493, 1497389, 1497810, 1687038, 1687041, 1688033
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

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.

Crossrefs

A075949 List of codewords in binary lexicode with Hamming distance 11 written as decimal numbers.

Original entry on oeis.org

0, 2047, 129055, 131040, 932067, 933660, 1032444, 1033987, 3299692, 3301011, 3383667, 3384972, 3957135, 3958384, 4037008, 4038255, 5548725, 5549386, 5591722, 5592405, 5935702, 5936553, 5990985, 5991862, 6747097, 6747174
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

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.

Crossrefs

Showing 1-5 of 5 results.