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A075956 Basis for code in A075955. 5

%I #1 May 16 2003 03:00:00

%S 8191,1040447,15786439,53683801,89475754,426151179,3759235934,

%T 13422994867,22549990279,40403963324,206697639567,825177352150,

%U 1443261279781,6597741209193,11064929837983,52777249440092

%N Basis for code in A075955.

%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.

%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>

%F a(n) = b(2^n), where b is A075955, the binary lexicode, d=13.

%F b(n) = XOR(a(i)) for all i where the i-th bit is set in n.

%Y Cf. A075928, A075929, A075930, A075955, A075957, A075959, A075950, A075962.

%K nonn

%O 0,1

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

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)