We introduce a new class of bent functions on (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.
CITATION STYLE
Carlet, C. (1994). Two new classes of bent functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 765 LNCS, pp. 77–101). Springer Verlag. https://doi.org/10.1007/3-540-48285-7_8
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