

A194851


List of the 14 blocks in the ReedMuller version of the Steiner System S(3,4,8) written as decimal numbers.


0



15, 51, 60, 85, 90, 102, 105, 150, 153, 165, 170, 195, 204, 240
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OFFSET

1,1


COMMENTS

This is a constant weight binary code of length 8, distance 4 and weight 4.
It is also a lexicographic code.
It is also the set of weight 4 words in the extended Hamming code of length 8.


LINKS

Table of n, a(n) for n=1..14.
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 13341380.
J. H. Conway and N. J. A. Sloane, Lexicographic codes: errorcorrecting codes from game theory, IEEE Transactions on Information Theory, 32:337348, 1986.


EXAMPLE

The blocks are:
00001111
00110011
00111100
01010101
01011010
01100110
01101001
10010110
10011001
10100101
10101010
11000011
11001100
11110000


CROSSREFS

A subsequence of A075928.
Sequence in context: A191746 A029941 A278909 * A075928 A020214 A127643
Adjacent sequences: A194848 A194849 A194850 * A194852 A194853 A194854


KEYWORD

fini,full,nonn,base


AUTHOR

N. J. A. Sloane, Sep 04 2011


STATUS

approved



