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A075932 Basis for code in A075931. 4


%S 31,227,805,1354,6182,10315,18731,35149,67943,393255,655433,1181959,

%T 6291497,10485837,18874658,35653635,69337155,136446255,270666054,

%U 1610612779,2684354638,4831838504,9126807585,17716871269,34896740609

%N Basis for code in A075931.

%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 A075931, the binary lexicode, d=5.

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

%Y Cf. A075928, A075929, A075930, A075931, A075933, A075935, A075927, A075938.

%K nonn

%O 0,1

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

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)