Constructing differentially 4-uniform permutations over GF(22m) from quadratic APN permutations over GF(22m+1)
Constructing differentially 4-uniform permutations over GF(22m) from quadratic APN permutations over GF(22m+1)
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DOI：
10.1007/s10623-012-9760-9
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
Yongqiang Li;Mingsheng Wang
中科院分区：
文献类型：
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作者：
Yongqiang Li;Mingsheng Wang
本文利用Carlet （ACISP 1- 15,2011）提出的思想，利用二次型APN置换在上构造了最具非线性的差分4-一致置换。利用Gold函数给出了特殊的结构。研究了这些结构及其组成逆的代数程度。一个构造及其复合逆都具有代数次+ 1 /。
In this paper, by means of the idea proposed by Carlet (ACISP 1-15, 2011), differentially 4-uniform permutations with the best known nonlinearity overare constructed using quadratic APN permutations over. Special constructions are given using the Gold functions. The algebraic degree of the constructions and their compositional inverses is also investigated. One construction and its compositional inverse both have algebraic degreem+ 1 over.