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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Local Method for Compositional Inverses of Permutation Polynomials
置换 多项式复合逆 局部方法
2023/4/18
In this talk, we will talk about a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
On the Boomerang Uniformity of some Permutation Polynomials
Vectorial Boolean functions Boomerang uniformity Boomerang connectivity table
2019/8/2
The boomerang attack, introduced by Wagner in 1999, is a cryptanalysis technique against block ciphers based on differential cryptanalysis. In particular it takes into consideration two differentials,...
On cryptographic parameters of permutation polynomials of the form xrh(x(q−1)/d)
Permutation Polynomials Differential Uniformity Boomerang Uniformity
2019/7/8
The differential uniformity, the boomerang uniformity, and the extended Walsh spectrum etc are important parameters to evaluate the security of S(substitution)-box. In this paper, we introduce efficie...
New Results about the Boomerang Uniformity of Permutation Polynomials
Finite Field Boomerang Connectivity Table Boomerang Uniformity
2019/1/29
In EUROCRYPT 2018, Cid et al. introduced a new concept on the cryptographic property of S-boxes: Boomerang Connectivity Table (BCT for short) for evaluating the subtleties of boomerang-style attacks. ...
Permutation Polynomials and Their Differential Properties over Residue Class Rings
residue class ring Almost Perfect Nonlinear (APN)
2014/3/13
This paper mainly focuses on permutation polynomials over the residue class ring $\mathbb{Z}_{N}$, where $N>3$ is composite. We have proved that for the polynomial $f(x)=a_{1}x^{1}+\cdots +a_{k}x^{k}$...
On permutation polynomials EA-equivalent to the inverse function over GF(2^n)
Inverse function EA-equivalence Permutation polynomial S-box Kloosterman sums
2010/11/16
It is proved that there does not exist a linearized polynomial L(x) 2 F2n[x] such that x−1+L(x) is a permutation on F2n when n≥ 5, which is proposed as a conjecture in [15]. As a consequence, a ...
Permutation Polynomials modulo pn
Permutation polynomials Finite rings Combinatorial problem
2009/8/18
A polynomial f over a finite ring R is called a permutation polynomial if the mapping
R ! R defined by f is one-to-one. In this paper we consider the problem of characterizing
permutation polynomial...