Using double Weil sums in finding the c-Boomerang Connectivity Table for monomial functions on finite fields

07/19/2020

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by   Pantelimon Stanica, et al.

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In this paper we characterize the c-Boomerang Connectivity Table (BCT), c≠ 0 (thus, including the classical c=1 case), for all monomial function x^d in terms of characters and Weil sums on the finite field _p^n. We further simplify these expressions for the Gold functions x^p^k+1 for all 1≤ k<n, and p odd. It is the first such attempt for a complete description for the classical BCT and its relative c-BCT, for all parameters involved.