Title :
A characterization of binary bent functions
Author :
Carlet, Claude ; Guillot, Philippe
Author_Institution :
GREYC, Caen Univ., France
fDate :
29 Jun-4 Jul 1997
Abstract :
A paper presented by Carlet (see IEEE Transactions on Information Theory, vol.41, p.1482-7, 1995) introduces a general class of binary bent functions whose elements are expressed by means of indicators of n/2-dimensional vector-subspaces of (GF(2))n . An extended version of this class is introduced in the same paper where it is conjectured that this version is equal to the whole class of bent functions. We prove now that this conjecture is true
Keywords :
Galois fields; binary sequences; functional analysis; Galois fields; algebraic properties; binary bent functions; combinatorial properties; generalised partial spreads; vector-subspaces; Boolean functions; Hamming weight; Lattices;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613388
