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Bivariate functions with low $c$-differential uniformity

Yanan WuPantelimon St\u{a}nic\u{a}Chunlei LiNian LiXiangyong Zeng
Dec 2022
摘要
Starting with the multiplication of elements in $\mathbb{F}_{q}^2$ which isconsistent with that over $\mathbb{F}_{q^2}$, where $q$ is a prime power, viasome identification of the two environments, we investigate the$c$-differential uniformity for bivariate functions $F(x,y)=(G(x,y),H(x,y))$.By carefully choosing the functions $G(x,y)$ and $H(x,y)$, we present severalconstructions of bivariate functions with low $c$-differential uniformity. ManyP$c$N and AP$c$N functions can be produced from our constructions.
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