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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.

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