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A075930
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Positions of check bits in code in A075928.
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55
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7, 11, 13, 14, 19, 21, 22, 25, 26, 28, 31, 35, 37, 38, 41, 42, 44, 47, 49, 50, 52, 55, 56, 59, 61, 62, 67, 69, 70, 73, 74, 76, 79, 81, 82, 84, 87, 88, 91, 93, 94, 97, 98, 100, 103, 104, 107, 109, 110, 112, 115, 117, 118, 121, 122
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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This sequence can be constructed from A057716 (all natural numbers other than the powers of two) by prepending an inverted parity bit.
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REFERENCES
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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.
R. W. Hamming, Error Detecting and Error Correcting Codes, Bell System Tech. J., Vol. 29, April, 1950, pp. 147-160.
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LINKS
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Table of n, a(n) for n=0..54.
Bob Jenkins, Tables of Binary Lexicodes
Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs
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CROSSREFS
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Cf. A075928, A075929, A057716, A075936.
Sequence in context: A271500 A271499 A235336 * A014311 A245178 A287161
Adjacent sequences: A075927 A075928 A075929 * A075931 A075932 A075933
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KEYWORD
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nonn,easy
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AUTHOR
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Bob Jenkins (bob_jenkins(AT)burtleburtle.net)
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STATUS
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approved
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