|
| |
|
|
A075930
|
|
Positions of check bits in code in A075928.
|
|
53
| |
|
|
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; 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
| 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 * A014311 A051266 A172247
Adjacent sequences: A075927 A075928 A075929 * A075931 A075932 A075933
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Bob Jenkins (bob_jenkins(AT)burtleburtle.net)
|
| |
|
|
