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 1-4 of 4 results.

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.

A075974 Basis for code in A075973.

Original entry on oeis.org

524287, 536347135, 16659267087, 121923751537, 432270825142, 1669779270546, 2925034919093, 13215281603292, 52815987849274, 211162780754599, 373971566094226, 1693443980145088, 6773560256426439
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, A075973, A075975, A075971, A075977.

Formula

a(n) = b(2^n), where b is A075973, the binary lexicode, d=19.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075976 List of codewords in binary lexicode with Hamming distance 20 written as decimal numbers.

Original entry on oeis.org

0, 1048575, 1072694271, 1073740800, 33318534175, 33319519200, 34326216672, 34327199775, 243847503074, 243848340253, 244704190237, 244705026274, 270708891901, 270709694210, 271529927426, 271530728701, 864541650285
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

Links

Crossrefs

Cf. A075928, A075929, A075930, A075977, A075978, A075973, A075970.

A075978 Positions of check bits in code in A075976.

Original entry on oeis.org

524287, 267912191, 4042816543, 13744315618, 22906842477, 40376162084, 62439401835, 75097753016, 148683059317, 290355594575, 498390060837, 652145353600, 1276493816718, 1985213666020, 2887709403613
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, A075976, A075977, A057775, A075972.
Showing 1-4 of 4 results.

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

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