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.

A075950 Basis for code in A075949.

Original entry on oeis.org

2047, 129055, 932067, 3299692, 5548725, 25323961, 42250958, 202390343, 806394569, 1409681880, 2492481691, 12894763567, 21811487392, 103089080516, 176362268954, 824702327536, 1378954303613, 2508261212719
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, A075949, A075951, A075953, A075944, A075956.

Formula

a(n) = b(2^n), where b is A075949, the binary lexicode, d=11.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075955 List of codewords in binary lexicode with Hamming distance 13 written as decimal numbers.

Original entry on oeis.org

0, 8191, 1040447, 1048512, 15786439, 15793720, 16712184, 16719367, 53683801, 53688742, 54314598, 54319513, 63162270, 63166561, 63711137, 63715422, 89475754, 89478485, 89827989, 89830762, 94743405, 94745746, 95046482
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, A075956, A075957, A075958, A075949, A075961.

A075957 Positions of check bits in code in A075955.

Original entry on oeis.org

4095, 258111, 1864135, 2987609, 3582634, 8080651, 25473886, 42292659, 50776967, 64081340, 76144271, 144414678, 207994405, 281196137, 355414943, 552485212, 792267444, 1128886935, 1495779625, 2139400570, 2234223869
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, A075956, A075960, A075951, A075963.

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.

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.
Showing 1-5 of 5 results.

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

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