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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A075947 Basis for code in A075946.

Original entry on oeis.org

1023, 31775, 232551, 824491, 1386837, 6330581, 25206065, 42278310, 77607100, 402698573, 673253467, 1218520349, 6442523019, 10748180761, 51539687634, 86033873250, 156768744521, 824634027372, 1374532244735, 2476057332766
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, A075946, A075948, A075944, A075941, A075953.

Formula

a(n) = b(2^n), where b is A075946, the binary lexicode, d=10.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075948 Positions of check bits in code in A075946.

Original entry on oeis.org

511, 7711, 26215, 43691, 54613, 77013, 143153, 184230, 202940, 276813, 345179, 480029, 544139, 761113, 1072338, 1359202, 1694281, 2144108, 2517759, 2795038, 4010901, 4242830, 4993784, 5477626, 7987334, 8483793, 9235006
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, A075946, A075947, A075945, A075942, A075954.

A075950 Basis for code in A075949.

Original entry on oeis.org

2047, 129055, 932067, 3299692, 5548725, 25323961, 42250958, 202390343, 806394569, 1409681880, 2492481691, 12894763567, 21811487392, 103089080516, 176362268954, 824702327536, 1378954303613, 2508261212719
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, A075949, A075951, A075953, A075944, A075956.

Formula

a(n) = b(2^n), where b is A075949, the binary lexicode, d=11.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075951 Positions of check bits in code in A075949.

Original entry on oeis.org

1023, 31775, 105699, 175468, 218805, 308665, 350926, 663367, 1199817, 1672664, 1974427, 2604591, 3830432, 4703428, 7394586, 9170672, 11758717, 12673583, 13425845, 14932646, 23412126, 45547907, 50761481, 84010699
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, A075949, A075950, A075954, A075945, A075957.

A075952 List of codewords in binary lexicode with Hamming distance 12 written as decimal numbers.

Original entry on oeis.org

0, 4095, 258111, 262080, 1864135, 1867320, 2064888, 2067975, 6599385, 6602022, 6767334, 6769945, 7914270, 7916769, 8074017, 8076510, 11097450, 11098773, 11183445, 11184810, 11871405, 11873106, 11981970, 11983725
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, A075953, A075954, A075949, A075946, A075958.

A075953 Basis for code in A075952.

Original entry on oeis.org

4095, 258111, 1864135, 6599385, 11097450, 50647922, 84501916, 404780686, 1612789139, 2819363761, 4984963383, 25789527134, 43622974785, 206178161033, 352724537908, 1649404655073, 2757908607226, 5016522425438
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, A075952, A075954, A075950, A075947, A075959.

Formula

a(n) = b(2^n), where b is A075952, the binary lexicode, d=12.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075954 Positions of check bits in code in A075952.

Original entry on oeis.org

2047, 63551, 211399, 350937, 437610, 617330, 701852, 1326734, 2399635, 3345329, 3948855, 5209182, 7660865, 9406857, 14789172, 18341345, 23517434, 25347166, 26851691, 29865293, 46824252, 91095814, 101522962, 168021398
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, A075952, A075953, A075951, A075948, A075960.

A075955 List of codewords in binary lexicode with Hamming distance 13 written as decimal numbers.

Original entry on oeis.org

0, 8191, 1040447, 1048512, 15786439, 15793720, 16712184, 16719367, 53683801, 53688742, 54314598, 54319513, 63162270, 63166561, 63711137, 63715422, 89475754, 89478485, 89827989, 89830762, 94743405, 94745746, 95046482
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, A075956, A075957, A075958, A075949, A075961.

A075956 Basis for code in A075955.

Original entry on oeis.org

8191, 1040447, 15786439, 53683801, 89475754, 426151179, 3759235934, 13422994867, 22549990279, 40403963324, 206697639567, 825177352150, 1443261279781, 6597741209193, 11064929837983, 52777249440092
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, A075955, A075957, A075959, A075950, A075962.

Formula

a(n) = b(2^n), where b is A075955, the binary lexicode, d=13.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075957 Positions of check bits in code in A075955.

Original entry on oeis.org

4095, 258111, 1864135, 2987609, 3582634, 8080651, 25473886, 42292659, 50776967, 64081340, 76144271, 144414678, 207994405, 281196137, 355414943, 552485212, 792267444, 1128886935, 1495779625, 2139400570, 2234223869
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, A075955, A075956, A075960, A075951, A075963.
Previous Showing 21-30 of 56 results. Next

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

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