Title :
Classification of Boolean cubic forms of nine variables
Author :
Brier, Eric ; Langevin, Philippe
Author_Institution :
Card Security Group, Gemplus Card Int., Gemenos, France
Abstract :
We describe a new invariant that we have used to obtain the complete classification of the cubic forms of nine variables. In particular, we compute the covering radius of the Reed-Muller code RM(2, 9) into RM(3, 9).
Keywords :
Boolean functions; Reed-Muller codes; polynomials; Boolean cubic form classification; Boolean functions; Reed-Muller codes; covering radius; invariant; polynomials; Algebra; Boolean functions; Distributed computing; Linear code; Orbits; Polynomials; Reactive power; Security;
Conference_Titel :
Information Theory Workshop, 2003. Proceedings. 2003 IEEE
Print_ISBN :
0-7803-7799-0
DOI :
10.1109/ITW.2003.1216724
