Search: id:A001289
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%I A001289
%S A001289 1,2,3,8,48,150357,63379147320777408548
%N A001289 Number of equivalence classes of Boolean functions modulo linear functions.
%C A001289 Number of equivalence classes of all 2^(2^n) maps from GF(2)^n to GF(2), 
               where maps f and g are equivalent iff there exists an invertible 
               n X n binary matrix M, two n-dimensional binary vectors a and b and 
               a binary scalar c such that g(x) = f(Mx+a) + b.x + c.
%D A001289 Berlekamp, Elwyn R. and Welch, Lloyd R., Weight distributions of the 
               cosets of the (32,6) Reed-Muller code, IEEE Trans. Information Theory, 
               IT-18 (1972), 203-207.
%D A001289 Xiang-Dong Hou, AGL(m,2) acting on R(r,m)/R(s,m), J. Algebra, 171 (1995), 
               921-938.
%D A001289 R. J. Lechner, Harmonic Analysis of Switching Functions, in A. Mukhopadhyay, 
               ed., Recent Developments in Switching Theory, Acad. Press, 1971, 
               pp. 121-254, esp. p. 186.
%D A001289 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting 
               Codes, Elsevier-North Holland, 1977, p. 431.
%D A001289 I. Strazdins, Universal affine classification of Boolean functions, Acta 
               Applic. Math. 46 (1997), 147-167.
%H A001289 An Braeken, Yuri Borissov, Svetla Nikova and Bart Preneel, <a href="http:/
               /eprint.iacr.org/2004/248.pdf">Classification of Boolean Functions 
               of 6 Variables or Less with Respect to Cryptographic Properties</
               a>
%H A001289 L. E. Danielsen, <a href="http://www.ii.uib.no/~larsed/boolean/">Database 
               of Boolean functions</a>
%H A001289 <a href="Sindx_Bo.html#Boolean">Index entries for sequences related to 
               Boolean functions</a>
%Y A001289 Cf. A109003.
%Y A001289 Sequence in context: A094370 A066084 A141319 this_sequence A103045 A126464 
               A041979
%Y A001289 Adjacent sequences: A001286 A001287 A001288 this_sequence A001290 A001291 
               A001292
%K A001289 nonn,hard,nice
%O A001289 1,2
%A A001289 N. J. A. Sloane (njas(AT)research.att.com).
%E A001289 a(7) from Hou (1995)

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