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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A075959 Basis for code in A075958.

Original entry on oeis.org

16383, 2080895, 31572879, 107367603, 178951509, 852302358, 7518471868, 26845989734, 45099980558, 80807926649, 413395279134, 1650354704301, 2886522559562, 13195482418386, 22129859675967, 105554498880184
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, A075958, A075960, A075956, A075953, A075965.

Formula

a(n) = b(2^n), where b is A075958, the binary lexicode, d=14.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075960 Positions of check bits in code in A075958.

Original entry on oeis.org

8191, 516223, 3728271, 5975219, 7165269, 16161302, 50947772, 84585318, 101553934, 128162681, 152288542, 288829357, 415988810, 562392274, 710829887, 1104970424, 1584534888, 2257773870, 2991559250, 4278801141
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, A075958, A075959, A075957, A075954, A075966.

A075961 List of codewords in binary lexicode with Hamming distance 15 written as decimal numbers.

Original entry on oeis.org

0, 32767, 8355967, 8388480, 126322567, 126351480, 133695480, 133724167, 429496729, 429516390, 434510310, 434529817, 505290270, 505307617, 509714017, 509731230, 715827882, 715838805, 718613205, 718624042
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

See also A075928, A075929, A075930, A075962, A075963, A075964, A075955, A075967.

A075962 Basis for code in A075961.

Original entry on oeis.org

32767, 8355967, 126322567, 429496729, 715827882, 1261745355, 32212752798, 109523344903, 182561385259, 322149788877, 1655752033019, 2785432610621, 13200625665306, 22026883141028, 105563899667886, 180876131965012
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

See also A075928, A075929, A075930, A075961, A075963, A075965, A075956, A075968.

Formula

a(n) = b(2^n), where b is A075961, the binary lexicode, d=15.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075963 Positions of check bits in code in A075958.

Original entry on oeis.org

16383, 2080895, 14927751, 23910809, 28666538, 31093963, 235133342, 369942023, 442559275, 477097165, 648119035, 859596605, 1185760538, 1394986404, 2327766446, 3865843796, 4475888762, 9264877532, 13979773625
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

See also A075928, A075929, A075930, A075961, A075962, A075966, A075957, A075969.

A075964 List of codewords in binary lexicode with Hamming distance 16 written as decimal numbers.

Original entry on oeis.org

0, 65535, 16711935, 16776960, 252645135, 252702960, 267390960, 267448335, 858993459, 859032780, 869020620, 869059635, 1010580540, 1010615235, 1019428035, 1019462460, 1431655765, 1431677610, 1437226410, 1437248085
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

See also A075928, A075929, A075930, A075965, A075966, A075961, A075958, A075970.

A075965 Basis for code in A075964.

Original entry on oeis.org

65535, 16711935, 252645135, 858993459, 1431655765, 2523490710, 64425505596, 219046689807, 365122770518, 644299577754, 3311504066038, 5570865221243, 26401251330613, 44053766282056, 211127799335772
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

See also A075928, A075929, A075930, A075964, A075966, A075962, A075959, A075971.

Formula

a(n) = b(2^n), where b is A075964, the binary lexicode, d=16.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075966 Positions of check bits in code in A075964.

Original entry on oeis.org

32767, 4161791, 29855503, 47821619, 57333077, 62187926, 470266684, 739884047, 885118550, 954194330, 1296238070, 1719193211, 2371521077, 2789972808, 4655532892, 7731687593, 8951777524, 18529755064, 27959547250
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

See also A075928, A075929, A075930, A075964, A075965, A075963, A075960, A075972.

A075967 List of codewords in binary lexicode with Hamming distance 17 written as decimal numbers.

Original entry on oeis.org

0, 131071, 66978047, 67108608, 2082344719, 2082468080, 2145390576, 2145513487, 15240409907, 15240514764, 15294018508, 15294123059, 16919313468, 16919413699, 16970562755, 16970662716, 54033798485
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

See also A075928, A075929, A075930, A075968, A075969, A075970, A075961, A075973.

A075970 List of codewords in binary lexicode with Hamming distance 18 written as decimal numbers.

Original entry on oeis.org

0, 262143, 133956095, 134217216, 4164689439, 4164936160, 4290781152, 4291026975, 30480819815, 30481029528, 30588037016, 30588246119, 33838626936, 33838827399, 33941125511, 33941325432, 108067596971
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, A075971, A075972, A075967, A075964, A075976.
Previous Showing 31-40 of 56 results. Next

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

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