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Symmetric cryptographic primitives with low multiplicative complexity have been proposed to improve the performance of emerging applications such as secure Multi-Party Computation. However, primitives...
We present a construction of bent function fa,Sfa,S with n=2mn=2m variables for any nonzero vector a∈Fm2a∈F2m and subset SS of Fm2F2m satisfying a+S=Sa+S=S. We give the simple expression of the dual b...
In this paper, we study the problem of existence of almost perfect nonlinear (APN) functions of algebraic degree n over \ftwon. We characterize such functions by means of derivatives and power moments...
Using simulated annealing, we derive several equivalence classes of balanced Boolean functions with optimum algebraic immunity, fast algebraic resistance, and maximum possible algebraic degree. For nu...
We present a study on the algebraic degree of iterated permutations seen as multivari- ate polynomials. Our main result shows that this degree depends on the algebraic degree of the inverse of the per...
We study algebraic degree profile of reduced-round block cipher schemes. We show that the degree is not maximal with elementary combinatorial and algebraic arguments. We discuss on how it can be tur...

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