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A075930 Positions of check bits in code in A075928. +0
52
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; listen)
OFFSET

0,1

COMMENT

This sequence can be constructed from A057716 (all natural numbers other than the powers of two) by prepending an inverted parity bit.

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.

R. W. Hamming, Error Detecting and Error Correcting Codes, Bell System Tech. J., Vol. 29, April, 1950, pp. 147-160.

LINKS

Bob Jenkins, Tables of Binary Lexicodes

Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

CROSSREFS

Cf. A075928, A075929, A057716, A075936.

Sequence in context: A028784 A119393 A155501 this_sequence A014311 A051266 A112090

Adjacent sequences: A075927 A075928 A075929 this_sequence A075931 A075932 A075933

KEYWORD

nonn,easy

AUTHOR

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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