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.

A075930 Positions of check bits in code in A075928.

Original entry on oeis.org

7, 11, 13, 14, 19, 21, 22, 25, 26, 28, 31, 35, 37, 38, 41, 42, 44, 47, 49, 50, 52, 55, 56, 59, 61, 62, 67, 69, 70, 73, 74, 76, 79, 81, 82, 84, 87, 88, 91, 93, 94, 97, 98, 100, 103, 104, 107, 109, 110, 112, 115, 117, 118, 121, 122
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

Comments

This sequence can be constructed from A057716 (all natural numbers other than the powers of two) by prepending an inverted parity bit.

Links

Crossrefs

Cf. A075928, A075929, A057716, A075936.

A075934 List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers.

Original entry on oeis.org

0, 63, 455, 504, 1611, 1652, 1932, 1971, 2709, 2730, 2898, 2925, 3294, 3297, 3353, 3366, 12365, 12402, 12682, 12725, 13830, 13881, 14273, 14334, 15064, 15079, 15135, 15136, 15507, 15532, 15700, 15723, 20630, 20649, 20817, 20846, 22237
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

Links

Crossrefs

Cf. A075928, A075929, A075930, A075935, A075936, A075931, A075928, A075940.

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.

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.

A075935 Basis for code in A075934.

Original entry on oeis.org

63, 455, 1611, 2709, 12365, 20630, 37463, 70299, 135886, 786510, 1310867, 2363919, 12582995, 20971674, 37749317, 71307271, 138674310, 272892511, 541332108, 3221225558, 5368709276, 9663677009, 18253615171, 35433742539
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, A075934, A075936, A075932, A075941.

Formula

a(n) = b(2^n), where b is A075934, the binary lexicode, d=6.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.
Showing 1-5 of 5 results.

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

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