1. Bivariate functions with low $c$-differential uniformity
- Author
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Wu, Yanan, Stănică, Pantelimon, Li, Chunlei, Li, Nian, and Zeng, Xiangyong
- Subjects
FOS: Computer and information sciences ,Computer Science - Information Theory ,Information Theory (cs.IT) ,11T71 94B05 - Abstract
Starting with the multiplication of elements in $\mathbb{F}_{q}^2$ which is consistent with that over $\mathbb{F}_{q^2}$, where $q$ is a prime power, via some 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 several constructions of bivariate functions with low $c$-differential uniformity. Many P$c$N and AP$c$N functions can be produced from our constructions., Comment: Low $c$-differential uniformity, perfect and almost perfect $c$-nonlinearity, the bivariate function
- Published
- 2022
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