A224879 Number of equivalence classes of n X n nonsingular matrices over GF(2), up to row and column permutation.

1, 2, 7, 51, 885, 44206, 6843555, 3373513302, 5366987461839, 27936547529976720, 482768359608369460173, 28090323163597327933723100, 5574677486781815353253212392653, 3816761688188495487649082049091445498, 9106495173413853187392282303788066742174903

Offset

1,2

Links

Ludovic Schwob, Table of n, a(n) for n = 1..41

Finley Freibert, The Classification of Complementary Information Set Codes of Lengths 14 and 16, Advances in Mathematics of Communications, Vol. 7, No. 3 (2013), 267-278.

N. Ilievska and D. Gligoroski, Error-Detecting Code Using Linear Quasigroups, ICT Innovations 2014, Advances in Intelligent Systems and Computing Volume 311, 2015, pp 309-318.

Ludovic Schwob, Sage program

Crossrefs

A002884 counts all matrices nonsingular over GF(2).

A116976 counts equivalence classes of binary matrices nonsingular over the reals.

Sequence in context: A086902 A265042 A249754 * A345678 A279198 A220092

Adjacent sequences: A224876 A224877 A224878 * A224880 A224881 A224882

Keyword

nonn

Author

Finley Freibert, Jul 23 2013

Extensions

a(8) from Brendan McKay, May 25 2020

a(9) onwards from Ludovic Schwob, Sep 25 2023

Status

approved