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

Author

Finley Freibert, Jul 23 2013

Keywords

• nonn

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.
• Nataša Ilievska and Danilo 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
• Ludovic Schwob, On the enumeration of double cosets and self-inverse double cosets, arXiv:2506.04007 [math.CO], 2025. See p. 16.

Crossrefs

A002884 counts all matrices nonsingular over GF(2).

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

Extensions

a(8) from Brendan McKay, May 25 2020

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