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Showing entries 1-10 | older changes
Number of equivalence classes of Boolean functions modulo linear functions.
(history; published version)
#16 by Joerg Arndt at Sun Feb 11 03:06:17 EST 2018
STATUS

proposed

approved

#15 by Michel Marcus at Sun Feb 11 02:10:19 EST 2018
STATUS

editing

proposed

#14 by Michel Marcus at Sun Feb 11 02:10:09 EST 2018
REFERENCES

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.

Xiang-Dong Hou, AGL(m,2) acting on R(r,m)/R(s,m), J. Algebra, 171 (1995), 921-938.

I. Strazdins, Universal affine classification of Boolean functions, Acta Applic. Math. 46 (1997), 147-167.

LINKS

Elwyn R. Berlekamp and Lloyd R.Welch, <a href="https://doi.org/10.1109/TIT.1972.1054732">Weight distributions of the cosets of the (32,6) Reed-Muller code</a>, IEEE Trans. Information Theory IT-18 (1972), 203-207.

Xiang-Dong Hou, <a href="https://doi.org/10.1006/jabr.1995.1043">AGL(m,2) acting on R(r,m)/R(s,m)</a>, J. Algebra, 171 (1995), 921-938.

I. Strazdins, <a href="http://dx.doi.org/10.1023/A:1005769927571">Universal affine classification of Boolean functions</a>, Acta Applic. Math. 46 (1997), 147-167.

#13 by Michel Marcus at Sun Feb 11 02:06:38 EST 2018
LINKS

An Braeken, Yuri Borissov, Svetla Nikova and Bart Preneel, <a href="httphttps://eprint.iacria.orgcr/2004/248.pdf">Classification of Boolean Functions of 6 Variables or Less with Respect to Cryptographic Properties</a>, IACR, Report 2004/248, 2004-2005.

STATUS

approved

editing

#12 by Joerg Arndt at Sat May 11 10:50:45 EDT 2013
STATUS

editing

approved

#11 by Joerg Arndt at Sat May 11 10:50:41 EDT 2013
KEYWORD

nonn,hard,more,nice

STATUS

approved

editing

#10 by Russ Cox at Fri Mar 30 16:43:00 EDT 2012
AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion
Fri Mar 30
16:43
OEIS Server: https://oeis.org/edit/global/110
#9 by Russ Cox at Sun Jul 10 18:19:54 EDT 2011
LINKS

<a href="/Sindx_index/Bo.html#Boolean">Index entries for sequences related to Boolean functions</a>

Discussion
Sun Jul 10
18:19
OEIS Server: https://oeis.org/edit/global/24
#8 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010
LINKS

<a href="/Sindx_Bo.html#Boolean">Index entries for sequences related to Boolean functions</a>

KEYWORD

nonn,hard,nice,new

#7 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
COMMENTS

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.

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Bo.html#Boolean">Index entries for sequences related to Boolean functions</a>

KEYWORD

nonn,hard,nice,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).