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.

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.

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.

A075969 Positions of check bits in code in A075967.

Original entry on oeis.org

65535, 16711935, 252645135, 858993459, 1431655765, 1789569706, 2527709560, 5047409558, 11322905375, 20900211843, 39100503852, 60375175654, 81769697955, 160265870155
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, A075968, A075972, A075963, A075975.
Showing 1-4 of 4 results.

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

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