Bivariate functions with low c-differential uniformity

12/25/2022

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by   Yanan Wu, et al.

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Starting with the multiplication of elements in 𝔽_q^2 which is consistent with that over 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 PcN and APcN functions can be produced from our constructions.