|
| |
|
|
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.
|
|
2
| |
|
|
1, 1, 2, 3, 5, 10, 20, 42, 102, 276, 857, 3233, 15113, 91717, 751479
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
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.
Sequence in context: A105369 A047101 A057755 * A023170 A125312 A014626
Adjacent sequences: A076831 A076832 A076833 * A076835 A076836 A076837
|
|
|
KEYWORD
| nonn,more
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 21 2002
|
|
|
EXTENSIONS
| More terms from Marcel Wild, Nov 26 2002
|
| |
|
|
