利用双Weil和求有限域上单项式函数的$c$ -Boomerang连通表
Using double Weil sums in finding the $c$-Boomerang Connectivity Table for monomial functions on finite fields
摘要：
本文利用有限域$\F_{p^n}$上的特征标和Weil和刻画了$c$ -Boomerang连通表$c\neq 0$（从而包括了经典的$c=1$情形）.我们进一步简化了所有$1\leq k<n$和$p$奇数的Gold函数$x^{p^k+1}$的表达式。这是第一次这样的尝试，一个完整的描述经典的BCT和它的相关$c$ -BCT，为所有涉及的参数。
英文摘要：
In this paper we characterize the $c$-Boomerang Connectivity Table (BCT), $c\neq 0$ (thus, including the classical $c=1$ case), for all monomial function $x^d$ in terms of characters and Weil sums on the finite field~$\F_{p^n}$. We further simplify these expressions for the Gold functions $x^{p^k+1}$ for all $1\leq k<n$, 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.
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