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.

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A075958 List of codewords in binary lexicode with Hamming distance 14 written as decimal numbers.

Original entry on oeis.org

0, 16383, 2080895, 2097024, 31572879, 31587440, 33424368, 33438735, 107367603, 107377484, 108629196, 108639027, 126324540, 126333123, 127422275, 127430844, 178951509, 178956970, 179655978, 179661525
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, A075959, A075960, A075955, A075952, A075964.

A075971 Basis for code in A075970.

Original entry on oeis.org

262143, 133956095, 4164689439, 30480819815, 108067596971, 181775455573, 829778399985, 3308792362796, 13477935949375, 53091885766918, 212211419623001, 373835875492812, 1694348683584839, 6774129833031318
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, A075970, A075972, A075968, A075965, A075977.

Formula

a(n) = b(2^n), where b is A075970, the binary lexicode, d=18.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

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.

A075936 Positions of check bits in code in A075934.

Original entry on oeis.org

31, 103, 171, 213, 301, 342, 439, 475, 494, 558, 595, 911, 1075, 1114, 1189, 1287, 1606, 1727, 1996, 2102, 2140, 2225, 2339, 2667, 2691, 3240, 3733, 4153, 4171, 4371, 4745, 4912, 5237, 5601, 5746, 6254, 6569, 6967, 7115, 7527, 8250, 8270
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, A075935, A075933, A075942.

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.

A075939 Positions of check bits in code in A075937.

Original entry on oeis.org

63, 455, 729, 874, 948, 1259, 1393, 1437, 1660, 1678, 1831, 2002, 14343, 22553, 26666, 28724, 38955, 43057, 45085, 51260, 53262, 57383, 63506, 71873, 76098, 78212, 84547, 86683, 90923, 97268, 101446, 103596, 107829, 114136, 116281
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, A075938, A075942, A075933, A075945.

A075940 List of codewords in binary lexicode with Hamming distance 8 written as decimal numbers.

Original entry on oeis.org

0, 255, 3855, 4080, 13107, 13260, 15420, 15555, 21845, 21930, 23130, 23205, 26214, 26265, 26985, 27030, 38505, 38550, 39270, 39321, 42330, 42405, 43605, 43690, 49980, 50115, 52275, 52428, 61455, 61680, 65280, 65535, 197462, 197545
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

Links

Crossrefs

Cf. A075928, A075929, A075930, A075941, A075942, A075937, A075934, A075946.

A075941 Basis for code in A075940.

Original entry on oeis.org

255, 3855, 13107, 21845, 38505, 197462, 329059, 591418, 1118584, 2167325, 4265038, 8460068, 251658255, 855638067, 1426063445, 2516582505, 12935233622, 21558722659, 38755369018, 73299656824, 142035910685
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, A075942, A075938, A075935, A075947.

Formula

a(n) = b(2^n), where b is A075940, the binary lexicode, d=8.
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.

A075943 List of codewords in binary lexicode with Hamming distance 9 written as decimal numbers.

Original entry on oeis.org

0, 511, 15887, 16368, 116275, 116684, 129084, 129475, 412245, 412586, 423002, 423333, 494694, 495001, 504425, 504726, 693418, 693589, 699045, 699226, 742041, 742246, 748694, 748905, 843519, 843520, 844016, 844047, 858316
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, A075944, A075945, A075946, A075937, A075949.
Previous Showing 11-20 of 52 results. Next

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

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