A Characterization of Binary Bent Functions |
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| Affiliation: | 1. INRIA Project CODES, Domaine de Voluceau, BP 105, 78153, Le Chesnay Cedex, France;2. GREYC, Université de Caen, France;3. Thomson-CSF, 66 rue du Fossé blanc, 92231, Gennevilliers Cedex, France |
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| Abstract: | A recent paper by Carlet introduces a general class of binary bent functions on (GF(2))n(neven) whose elements are expressed by means of characteristic functions (indicators) of (n/2)-dimensional vector-subspaces of (GF(2))n. An extended version of this class is introduced in the same paper; it is conjectured that this version is equal to the whole class of bent functions. In the present paper, we prove that this conjecture is true. |
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