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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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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,9
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COMMENTS
| A code is projective if all columns are distinct and nonzero.
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REFERENCES
| 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
| H. Fripertinger, Isometry Classes of Codes
Index entries for sequences related to binary linear codes
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EXAMPLE
| 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
| Cf. A076834 (row sums). Partial sums across rows gives triangle A091008.
Sequence in context: A164846 A026729 A109466 * A071676 A115363 A036867
Adjacent sequences: A076830 A076831 A076832 * A076834 A076835 A076836
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KEYWORD
| nonn,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 21 2002
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