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.

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.

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.

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.

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.

A075968 Basis for code in A075967.

Original entry on oeis.org

131071, 66978047, 2082344719, 15240409907, 54033798485, 90887727786, 414889199992, 1654396181398, 6738967974687, 26545942883459, 106105709811500, 186917937746406, 847174341792419, 3387064916515659
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, A075967, A075969, A075971, A075962, A075974.

Formula

a(n) = b(2^n), where b is A075967, the binary lexicode, d=17.
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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