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Two new classes of bent functions. (English) Zbl 0951.94542
Helleseth, Tor (ed.), Advances in cryptology - EUROCRYPT ’93. Workshop on the theory and application of cryptographic techniques, Lofthus, Norway, May 23-27, 1993. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 765, 77-101 (1994).
Summary: We introduce a new class of bent functions on \((\text{GF}(2))^n\) (\(n\) even). We prove that this class is not included in one of the known classes of bent functions, and that, when \(n\) equals 6, it covers the whole set of bent functions of degree 3. This class is obtained by using a result from J. F. Dillon. We generalize this result and deduce a second new class of bent functions which we checked was not included in one of the preceding ones.
For the entire collection see [Zbl 0847.00050].

94A60 Cryptography