Several classes of 0-APN power functions over 𝔽_2^n

10/27/2022
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by   Tao Fu, et al.
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Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose several new infinite classes of 0-APN power functions over 𝔽_2^n. By the main result in [4], these 0-APN power functions are CCZ-inequivalent to the known ones. Moreover, these infinite classes of 0-APN power functions can explain some exponents for 1≀ n≀11 which are not yet β€œexplained" in the tables of Budaghyan et al. [3].

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