id:A034343 - OEIS Search Results

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Number of inequivalent binary linear codes of length n and any dimension k <= n containing no column of zeros.

+0
4

1, 2, 4, 8, 16, 36, 80, 194, 506, 1449, 4631, 17106, 74820, 404283, 2815595, 26390082, 344330452, 6365590987, 167062019455, 6182453531508, 319847262335488, 22968149462624180, 2277881694784784852 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Also the number of loopless binary matroids on n points.`
	REFERENCES	`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`
	LINKS	`H. Fripertinger, Isometry Classes of Codes` `Index entries for sequences related to binary linear codes`
	CROSSREFS	`Row sums of A076832. Cf. A034337-. A diagonal of A076832.` `Sequence in context: A007669 A034341 A034342 this_sequence A002876 A095236 A018536` `Adjacent sequences: A034340 A034341 A034342 this_sequence A034344 A034345 A034346`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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