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.

A075958 List of codewords in binary lexicode with Hamming distance 14 written as decimal numbers.

Original entry on oeis.org

0, 16383, 2080895, 2097024, 31572879, 31587440, 33424368, 33438735, 107367603, 107377484, 108629196, 108639027, 126324540, 126333123, 127422275, 127430844, 178951509, 178956970, 179655978, 179661525
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, A075959, A075960, A075955, A075952, A075964.

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.

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.

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.

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.
Showing 1-5 of 5 results.

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

Content is available under The OEIS End-User License Agreement.