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.

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.

Links

Crossrefs

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

Programs

  • C
    See Links section.

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.

Links

Crossrefs

Cf. A075928, A075929, A075930, A075943, A075944, A075948, A075939, A075951.

A075933 Positions of check bits in code in A075931.

Original entry on oeis.org

15, 51, 85, 106, 150, 171, 219, 237, 247, 279, 297, 455, 537, 557, 594, 643, 803, 863, 998, 1051, 1070, 1112, 1169, 1333, 1345, 1620, 1866, 2076, 2085, 2185, 2372, 2456, 2618, 2800, 2873, 3127, 3284, 3483, 3557, 3763, 4125, 4135, 4174, 4435
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.

Links

Crossrefs

Cf. A075928, A075929, A075930, A075931, A075932, A075936, A057716, A075939.

A075938 Basis for code in A075937.

Original entry on oeis.org

127, 1927, 6553, 10922, 19252, 98731, 164529, 295709, 559292, 1083662, 2132519, 4230034, 125829127, 427819033, 713031722, 1258291252, 6467616811, 10779361329, 19377684509, 36649828412, 71017955342
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.

Links

Crossrefs

Cf. A075928, A075929, A075930, A075937, A075939, A075941, A075932, A075944.

Formula

a(n) = b(2^n), where b is A075937, the binary lexicode, d=7.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075942 Positions of check bits in code in A075940.

Original entry on oeis.org

127, 911, 1459, 1749, 1897, 2518, 2787, 2874, 3320, 3357, 3662, 4004, 28687, 45107, 53333, 57449, 77910, 86115, 90170, 102520, 106525, 114766, 127012, 143747, 152197, 156425, 169094, 173366, 181846, 194537, 202892, 207193
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.

Links

Crossrefs

Cf. A075928, A075929, A075930, A075940, A075941, A075939, A075936, A075948.
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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