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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].

##### MSC:
 94A60 Cryptography