A224879 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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