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A194851
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List of the 14 blocks in the Reed-Muller version of the Steiner System S(3,4,8) written as decimal numbers.
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1
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15, 51, 60, 85, 90, 102, 105, 150, 153, 165, 170, 195, 204, 240
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listen;
history;
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internal format)
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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The blocks are:
00001111
00110011
00111100
01010101
01011010
01100110
01101001
10010110
10011001
10100101
10101010
11000011
11001100
11110000
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CROSSREFS
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KEYWORD
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fini,full,nonn,base
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AUTHOR
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STATUS
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approved
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