Title :
Counting Partial Spread Functions in Eight Variables
Author :
Langevin, Philippe ; Hou, Xiang-Dong
Author_Institution :
U.F.R. des Sci. et Tech., Univ. du Sud Toulon Var, La Garde, France
fDate :
4/1/2011 12:00:00 AM
Abstract :
In this paper we report the following computational results on partial spread functions in eight variables: (i) the numbers of equivalence classes of partial spread functions (in eight variables) of all possible orders; (ii) the total number of partial spread bent functions in eight variables; (iii) the distribution of the cardinalities of stabilizers (in GL(8, F2)) of partial spread bent functions in eight variables. The computational method is also described.
Keywords :
Boolean functions; combinatorial mathematics; Boolean function; equivalence classes; partial spread bent functions; partial spread function counting; Boolean functions; Classification algorithms; Computers; Fourier transforms; Polynomials; Testing; Bent function; Boolean function; partial spread;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2112230