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A075927 Basis for code in A075926. 2


%S 7,25,42,75,385,642,1155,2184,4233,8330,16523,98305,163842,294915,

%T 557064,1081353,2129930,4227083,8421504,16810113,33587330,67141763,

%U 134250632,268468361,536903818,1073774731,6442450945,10737418242

%N Basis for code in A075926.

%H J. H. Conway and N. J. A. Sloane, <a href="https://doi.org/10.1109/TIT.1986.1057187">Lexicographic codes: error-correcting codes from game theory</a>, IEEE Transactions on Information Theory, 32:337-348, 1986.

%H R. W. Hamming, <a href="https://signallake.com/innovation/hamming.pdf">Error Detecting and Error Correcting Codes</a>, Bell System Tech. J., Vol. 29, April, 1950, pp. 147-160.

%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 the Hamming code d=3.

%F b(n) = XOR(a(i)) where i is a bit set in n.

%Y Cf. A075928, A075929, A075930, A075926, A057716, A075933.

%K nonn,easy

%O 0,1

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

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Last modified July 2 16:19 EDT 2020. Contains 335404 sequences. (Running on oeis4.)