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Search: id:A076833
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| A076833 |
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Triangle T(n,k) read by rows giving number of inequivalent projective binary linear [n,k] codes (n >= 1, 1 <= k <= n). |
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3
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| 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 3, 1, 0, 0, 1, 4, 4, 1, 0, 0, 1, 5, 8, 5, 1, 0, 0, 0, 6, 15, 14, 6, 1, 0, 0, 0, 5, 29, 38, 22, 7, 1, 0, 0, 0, 4, 46, 105, 80, 32, 8, 1, 0, 0, 0, 3, 64, 273, 312, 151, 44, 9, 1, 0, 0, 0, 2, 89, 700, 1285, 821, 266, 59, 10, 1, 0, 0, 0, 1, 112
(list; table; graph; listen)
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OFFSET
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1,9
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COMMENT
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A code is projective if all columns are distinct and nonzero.
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REFERENCES
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D. Slepian, Some further theory of group codes. Bell System Tech. J. 39 1960 1219-1252.
H. Fripertinger and A. Kerber, in AAECC-11, Lect. Notes Comp. Sci. 948 (1995), 194-204.
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LINKS
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H. Fripertinger, Isometry Classes of Codes
Index entries for sequences related to binary linear codes
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EXAMPLE
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1; 0,1; 0,1,1; 0,0,2,1; 0,0,1,3,1; 0,0,1,4,4,1; 0,0,1,5,8,5,1; ...
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CROSSREFS
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Cf. A076834 (row sums). Partial sums across rows gives triangle A091008.
Adjacent sequences: A076830 A076831 A076832 this_sequence A076834 A076835 A076836
Sequence in context: A108063 A026729 A109466 this_sequence A071676 A115363 A036867
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KEYWORD
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nonn,tabl
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AUTHOR
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njas, Nov 21 2002
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