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Search: id:A076834
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| A076834 |
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Number of inequivalent projective binary linear [n,k] codes of any dimension k <= n. Also the number of simple binary matroids on n points. |
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+0
3
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| 1, 1, 2, 3, 5, 10, 20, 42, 102, 276, 857, 3233, 15113, 91717, 751479
(list; graph; listen)
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OFFSET
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1,3
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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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H. Fripertinger and A. Kerber, in AAECC-11, Lect. Notes Comp. Sci. 948 (1995), 194-204.
D. Slepian, Some further theory of group codes. Bell System Tech. J. 39 1960 1219-1252.
M. Wild, Enumeration of binary and ternary matroids and other applications of the Brylawski-Lucas Theorem, Preprint Nr. 1693, Tech. Hochschule Darmstadt, 1994
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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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CROSSREFS
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Row sums of A076833. A diagonal of A091008.
Sequence in context: A105369 A047101 A057755 this_sequence A023170 A125312 A014626
Adjacent sequences: A076831 A076832 A076833 this_sequence A076835 A076836 A076837
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 21 2002
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EXTENSIONS
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More terms from Marcel Wild, Nov 26 2002
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