A075930 Positions of check bits in code in A075928.

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

Offset: 0

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

• nonn
• easy

Comments

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

Links

• John Tyler Rascoe, Table of n, a(n) for n = 0..10000
• 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.
• Bob Jenkins, Tables of Binary Lexicodes
• Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

Crossrefs

Cf. A075928, A075929, A057716, A075936.