# On the Ambiguity of Differentially Uniform Functions

@article{Fu2017OnTA,
title={On the Ambiguity of Differentially Uniform Functions},
author={Shihui Fu and Xiutao Feng and Qiang Wang},
journal={ArXiv},
year={2017},
volume={abs/1710.07765}
}
• Published 21 October 2017
• Mathematics
• ArXiv
Recently, the ambiguity and deficiency of a given bijective mapping $F$ over a finite abelian group $G$ were introduced by Panario et al. to measure the balancedness of the derivatives $D_a F(x)=F(x+a)-F(x)$ for all $a\in G\setminus\{0\}$. In this paper, we extend the study of the ambiguity and deficiency to functions between any two finite abelian groups $G_1$, $G_2$ with possible different orders. Many functions in cryptography are of this type. We investigate the optimum lower bound of…

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