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%I #22 Oct 18 2022 01:17:37
%S 15,51,60,85,90,102,105,150,153,165,170,195,204,240
%N List of the 14 blocks in the Reed-Muller version of the Steiner System S(3,4,8) written as decimal numbers.
%C This is a constant weight binary code of length 8, distance 4 and weight 4.
%C It is also a lexicographic code.
%C It is also the set of weight 4 words in the extended Hamming code of length 8.
%H A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, <a href="http://dx.doi.org/10.1109/18.59932">New table of constant weight codes</a>, IEEE Trans. Info. Theory 36 (1990), 1334-1380.
%H J. H. Conway and N. J. A. Sloane, <a href="http://dx.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.
%e The blocks are:
%e 00001111
%e 00110011
%e 00111100
%e 01010101
%e 01011010
%e 01100110
%e 01101001
%e 10010110
%e 10011001
%e 10100101
%e 10101010
%e 11000011
%e 11001100
%e 11110000
%Y A subsequence of A075928.
%K fini,full,nonn,base
%O 1,1
%A _N. J. A. Sloane_, Sep 04 2011
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