CCZ-equivalence of bent vectorial functions and related constructions |
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Authors: | Lilya Budaghyan Claude Carlet |
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Affiliation: | 1. Department of Informatics, University of Bergen, PB 7803, 5020, Bergen, Norway 2. LAGA, UMR 7539, CNRS, Universities of Paris 8 and Paris 13, Department of Mathematics, University of Paris 8, 2 rue de lalibert??, 93526, Saint-Denis cedex 02, France
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Abstract: | We observe that the CCZ-equivalence of bent vectorial functions over ${{bf F}_2^n}$ (n even) reduces to their EA-equivalence. Then we show that in spite of this fact, CCZ-equivalence can be used for constructing bent functions which are new up to EA-equivalence and therefore to CCZ-equivalence: applying CCZ-equivalence to a non-bent vectorial function F which has some bent components, we get a function F?? which also has some bent components and whose bent components are CCZ-inequivalent to the components of the original function F. Using this approach we construct classes of nonquadratic bent Boolean and bent vectorial functions. |
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