zbMATH — the first resource for mathematics

Bent functions on a finite Abelian group. (English. Russian original) Zbl 0982.94012
Discrete Math. Appl. 7, No. 6, 547-564 (1997); translation from Diskretn. Mat. 9, No. 4, 3-20 (1997).
Summary: We introduce the notion of a bent function on a finite Abelian group which in the case of the elementary Abelian 2-group coincides with the well-known notion of a Boolean bent function. Using methods of the theory of characters and commutative harmonic analysis we obtain a number of properties of bent functions which generalize the corresponding properties of Boolean bent functions. We construct some classes of bent functions.

94A55 Shift register sequences and sequences over finite alphabets in information and communication theory
20K01 Finite abelian groups
Full Text: DOI