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.

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A075972 Positions of check bits in code in A075970.

Original entry on oeis.org

131071, 33423871, 505290271, 1717986919, 2863311531, 3579139413, 5055419121, 10094819116, 22645810751, 41800423686, 78201007705, 120750351308, 163539395911, 320531740310
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, A075971, A057769, A075966, A075978.

A075932 Basis for code in A075931.

Original entry on oeis.org

31, 227, 805, 1354, 6182, 10315, 18731, 35149, 67943, 393255, 655433, 1181959, 6291497, 10485837, 18874658, 35653635, 69337155, 136446255, 270666054, 1610612779, 2684354638, 4831838504, 9126807585, 17716871269, 34896740609
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, A075931, A075933, A075935, A075927, A075938.

Formula

a(n) = b(2^n), where b is A075931, the binary lexicode, d=5.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

A075935 Basis for code in A075934.

Original entry on oeis.org

63, 455, 1611, 2709, 12365, 20630, 37463, 70299, 135886, 786510, 1310867, 2363919, 12582995, 20971674, 37749317, 71307271, 138674310, 272892511, 541332108, 3221225558, 5368709276, 9663677009, 18253615171, 35433742539
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, A075934, A075936, A075932, A075941.

Formula

a(n) = b(2^n), where b is A075934, the binary lexicode, d=6.
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.

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.

A075973 List of codewords in binary lexicode with Hamming distance 19 written as decimal numbers.

Original entry on oeis.org

0, 524287, 536347135, 536870400, 16659267087, 16659759600, 17163108336, 17163599887, 121923751537, 121924170126, 122352095118, 122352513137, 135354445950, 135354847105, 135764963713, 135765364350, 432270825142
Offset: 0

Views

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

Links

Crossrefs

Cf. A075928, A075929, A075930, A075974, A075975, A075976, A075967.

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.

A075977 Basis for code in A075976.

Original entry on oeis.org

1048575, 1072694271, 33318534175, 243847503074, 864541650285, 3339558541092, 5850069838187, 26430563206584, 105631975698549, 422325561509199, 747943132188453, 3386887960290176, 13547120512852878
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, A075978, A075974, A075971.

Formula

a(n) = b(2^n), where b is A075976, the binary lexicode, d=20.
b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

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.
Previous Showing 41-50 of 56 results. Next

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

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