Search Results for author: Lijing Zheng

Found 2 papers, 1 papers with code

Constructing new APN functions through relative trace functions

no code implementations27 Jan 2021 Lijing Zheng, Haibin Kan, Yanjun Li, Jie Peng, Deng Tang

With the help of this characterization, we obtain an infinite family of APN functions for $ n=2m $ with $m$ being an odd positive integer: $ f(x)=a{\rm Tr}^{n}_{m}(bx^3)+a^q{\rm Tr}^{n}_{m}(b^3x^9) $, where $ a\in \mathbb{F}_{2^n}$ such that $ a+a^q\neq 0 $ and $ b $ is a non-cube in $ \mathbb{F}_{2^n} $.

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