Volume 17, No 1, 2010, P. 34-64

UDC 519.7
N. N. Tokareva
Generalizations of bent functions

Abstract:
Bent functions (Boolean functions with extremal nonlinear properties) are intensively studied at present since they have numerous applications in cryptography, coding theory, and other areas. New statement of problems lead to appearance of many new generalizations of bent functions which are not well known to the specialists in Boolean functions. In the paper, a systematic survey of them is given.
Bibl. 63.

Keywords: Boolean function, the Walsh–Hadamard transform, nonlinearity, bent function, CDMA.

Tokareva Natalia Nikolaevna ^1,2
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: tokareva@math.nsc.ru