A076834 Number of inequivalent projective binary linear [n,k] codes of any dimension k <= n. Also the number of simple binary matroids on n points.

1, 1, 2, 3, 5, 10, 20, 42, 102, 276, 857, 3233, 15113, 91717, 751479

Offset: 1

Author

N. J. A. Sloane, Nov 21 2002

Keywords

• nonn
• more

Comments

A code is projective if all columns are distinct and nonzero.

References

• 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

Links

• H. Fripertinger, Isometry Classes of Codes
• Index entries for sequences related to binary linear codes

Crossrefs

Row sums of A076833. A diagonal of A091008.

Extensions

More terms from Marcel Wild, Nov 26 2002