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09/27/2022
More infinite classes of APN-like Power Functions
In the literature, there are many APN-like functions that generalize the...
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07/21/2022
More constructions of n-cycle permutations
n-cycle permutations with small n have the advantage that their composit...
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01/25/2022
Characterizations and constructions of n-to-1 mappings over finite fields
n-to-1 mappings have wide applications in many areas, especially in cryp...
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05/18/2021
Two new infinite classes of APN functions
In this paper, we present two new infinite classes of APN functions over...
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10/01/2020
On two conjectures about the intersection distribution
Recently, S. Li and A. Pott<cit.> proposed a new concept of intersection...
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07/08/2020
A complete characterization of the APN property of a class of quadrinomials
In this paper, by the Hasse-Weil bound, we determine the necessary and s...
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06/22/2020
Binary linear codes with few weights from two-to-one functions
In this paper, we apply two-to-one functions over 𝔽_2^n in two generic c...
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04/27/2020
A general method for finding the compositional inverses of permutations from the AGW criterion
Permutation polynomials and their compositional inverses have wide appli...
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12/05/2019
Cryptographically Strong Permutations from the Butterfly Structure
In this paper, we present infinite families of permutations of F_2^2n wi...
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10/15/2019
Further study of 2-to-1 mappings over F_2^n
2-to-1 mappings over finite fields play an important role in symmetric c...
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09/18/2019
On a conjecture about a class of permutation quadrinomials
Very recently, Tu et al. presented a sufficient condition about (a_1,a_2...
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07/13/2019
On the Differential Linear Connectivity Table of Vectorial Boolean Functions
Vectorial Boolean functions are crucial building blocks in symmetric cip...
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06/27/2019
On two-to-one mappings over finite fields
Two-to-one (2-to-1) mappings over finite fields play an important role i...
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01/17/2019