login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075930 Positions of check bits in code in A075928. 55

%I

%S 7,11,13,14,19,21,22,25,26,28,31,35,37,38,41,42,44,47,49,50,52,55,56,

%T 59,61,62,67,69,70,73,74,76,79,81,82,84,87,88,91,93,94,97,98,100,103,

%U 104,107,109,110,112,115,117,118,121,122

%N Positions of check bits in code in A075928.

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

%D 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.

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

%H Bob Jenkins, <a href="http://burtleburtle.net/bob/math/lexicode.html">Tables of Binary Lexicodes</a>

%H Ari Trachtenberg, <a href="http://ipsit.bu.edu/phdthesis_html/phdthesis_html.html">Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs</a>

%Y Cf. A075928, A075929, A057716, A075936.

%K nonn,easy

%O 0,1

%A Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 13 14:58 EST 2017. Contains 295958 sequences.