11 papers
A generalization of the map
Xiutao Feng, Qiang Wang, Jingyi Yu +1
The mapping defined by with , where the indices are computed modulo , has been widely s…
Cryptanalysis of Gleeok-128
Siwei Chen, Peipei Xie, Shengyuan Xu +3
Gleeok is a family of low latency keyed pseudorandom functions (PRFs) consisting of three parallel SPN based permutations whose outputs are XORed to form the final value. Both Glee…
On the construction of ultra-light MDS matrices
Yu Tian, Xiutao Feng, Guangrong Li
In recent years, the Substitution-Permutation Network has emerged as a crucial structure for constructing symmetric key ciphers. Composed primarily of linear matrices and nonlinear…
A classification of permutation binomials of the form over for dimensions up to 8
Yi Li, Xiutao Feng, Qiang Wang
Permutation polynomials with few terms (especially permutation binomials) attract many people due to their simple algebraic structure. Despite the great interests in the study of p…
Applications of Quantum Annealing in Cryptography
Anpeng Zhang, Xiutao Feng
This paper presents a new method to reduce the optimization of a pseudo-Boolean function to QUBO problem which can be solved by quantum annealer. The new method has two aspects, on…
Size optimization of CNOT circuits on NISQ
Anpeng Zhang, Xiutao Feng, Shengyuan Xu
Quantum computers in practice today require strict memory constraints, where 2-qubit operations can only be performed between the qubits closest to each other in a graph structure.…
Minimizing Deduction System and its Application
Zhe Cen, Xiutao Feng, Zhangyi Wang +1
In a deduction system with some propositions and some known relations among these propositions, people usually care about the minimum of propositions by which all other proposition…
A Recursive Construction of Permutation Polynomials over with Odd Characteristic from Rédei Functions
Shihui Fu, Xiutao Feng, Dongdai Lin +1
In this paper, we construct two classes of permutation polynomials over with odd characteristic from rational Rédei functions. A complete characterization of the…
On the Derivative Imbalance and Ambiguity of Functions
Shihui Fu, Xiutao Feng, Qiang Wang +1
In 2007, Carlet and Ding introduced two parameters, denoted by and , quantifying respectively the balancedness of general functions between finite Abelian groups a…
Further results on complete permutation monomials over finite fields
Xiutao Feng, Dongdai Lin, Liping Wang +1
In this paper, we construct some new classes of complete permutation monomials with exponent using AGW criterion (a special case). This proves two recent conj…
Further Results of the Cryptographic Properties on the Butterfly Structures
Shihui Fu, Xiutao Feng
Recently, a new structure called butterfly introduced by Perrin et at. is attractive for that it has very good cryptographic properties: the differential uniformity is at most equa…