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A034343
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Number of inequivalent binary linear codes of length n and any dimension k <= n containing no column of zeros.
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4
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1, 2, 4, 8, 16, 36, 80, 194, 506, 1449, 4631, 17106, 74820, 404283, 2815595, 26390082, 344330452, 6365590987, 167062019455, 6182453531508, 319847262335488, 22968149462624180, 2277881694784784852
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OFFSET
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1,2
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COMMENTS
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Also the number of loopless binary matroids on n points.
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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.
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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Table of n, a(n) for n=1..23.
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 A076832. Cf. A034337-. A diagonal of A076832.
Sequence in context: A034341 A034342 A180414 * A002876 A095236 A018536
Adjacent sequences: A034340 A034341 A034342 * A034344 A034345 A034346
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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