A075971 - OEIS

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

%S 262143,133956095,4164689439,30480819815,108067596971,181775455573,

%T 829778399985,3308792362796,13477935949375,53091885766918,

%U 212211419623001,373835875492812,1694348683584839,6774129833031318

%N Basis for code in A075970.

%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 A075970, the binary lexicode, d=18.

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

%Y Cf. A075928, A075929, A075930, A075970, A075972, A075968, A075965, A075977.

%K nonn

%O 0,1

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