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A075930 Positions of check bits in code in A075928. 55
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)
OFFSET

0,1

COMMENTS

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

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

CROSSREFS

Cf. A075928, A075929, A057716, A075936.

Sequence in context: A271500 A271499 A235336 * A014311 A245178 A287161

Adjacent sequences:  A075927 A075928 A075929 * A075931 A075932 A075933

KEYWORD

nonn,easy

AUTHOR

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

STATUS

approved

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Last modified May 25 19:28 EDT 2017. Contains 287059 sequences.