18 citations · 67 across the 25 of their papers we have counts for
22 papers · 1 filter
Minimum Distances of Binary Goppa Codes and Constructions with Prescribed Alternating Automorphism Groups
Tianni He, Kangquan Li, Longjiang Qu
Goppa codes are a well-known class of linear codes with important applications in cryptography. Determining the minimum distance of Goppa codes and constructing Goppa codes with pr…
A class of locally differentially -uniform power functions with Niho exponents
Haode Yan, Kangquan Li
Niho exponents have found important applications in sequence design, coding theory, and cryptography. Determining the differential spectrum of a power function with Niho exponent i…
Several new classes of self-orthogonal minimal linear codes violating the Ashikhmin-Barg condition
Wengang Jin, Kangquan Li, Longjiang Qu
Linear codes have attracted considerable attention in coding theory and cryptography due to their significant applications in secret sharing schemes, secure two-party computation,…
Constructions of binary self-orthogonal singly-even minimal linear codes violating the Aschikhmin-Barg condition with few weights
Kangquan Li, Hao Chen, Wengang Jin +1
We first establish a simple yet powerful necessary and sufficient condition for a binary linear code to be SO, leading to a complete characterization of singly-even codes in this f…
Balanced Boolean functions with few-valued Walsh spectra parameterized by
Qiancheng Zhang, Kangquan Li, Longjiang Qu
Boolean functions with few-valued spectra have wide applications in cryptography, coding theory, sequence designs, etc. In this paper, we further study the parametric construction…
More infinite classes of APN-like Power Functions
Longjiang Qu, Kangquan Li
In the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. locally-APN functions, 0-APN functions or those with b…
More constructions of -cycle permutations
Tailin Niu, Kangquan Li, Longjiang Qu +1
-cycle permutations with small have the advantage that their compositional inverses are efficient in terms of implementation. They can be also used in constructing Bent func…
Two new families of bivariate APN functions
Marco Calderini, Kangquan Li, Irene Villa
In this work, we present two new families of quadratic APN functions. The first one (F1) is constructed via biprojective polynomials. This family includes one of the two APN famili…
Characterizations and constructions of n-to-1 mappings over finite fields
Tailin Niu, Kangquan Li, Longjiang Qu +1
-to- mappings have wide applications in many areas, especially in cryptography, finite geometry, coding theory and combinatorial design. In this paper, many classes of -to…
Two new infinite classes of APN functions
Kangquan Li, Yue Zhou, Chunlei Li +1
In this paper, we present two new infinite classes of APN functions over $\gf_{2^{2m}}$ and $\gf_{2^{3m}}$, respectively. The first one is with bivariate form and obtained by addin…
On two conjectures about the intersection distribution
Yubo Li, Kangquan Li, Longjiang Qu
Recently, S. Li and A. Pott\cite{LP} proposed a new concept of intersection distribution concerning the interaction between the graph $\{(x,f(x))~|~x\in\F_{q}\}$ of and the lin…
A complete characterization of the APN property of a class of quadrinomials
Kangquan Li, Chunlei Li, Tor Helleseth +1
In this paper, by the Hasse-Weil bound, we determine the necessary and sufficient condition on coefficients with such that $f(x) = {x}^{3\cd…
Binary linear codes with few weights from two-to-one functions
Kangquan Li, Chunlei Li, Tor Helleseth +1
In this paper, we apply two-to-one functions over in two generic constructions of binary linear codes. We consider two-to-one functions in two forms: (1) general…
Finding compositional inverses of permutations from the AGW criterion
Tailin Niu, Kangquan Li, Longjiang Qu +1
Permutation polynomials and their compositional inverses have wide applications in cryptography, coding theory, and combinatorial designs. Motivated by several previous results on…
Cryptographically Strong Permutations from the Butterfly Structure
Kangquan Li, Chunlei Li, Tor Helleseth +1
In this paper, we present infinite families of permutations of with high nonlinearity and boomerang uniformity from generalized butterfly structures. Both…
Further study of -to- mappings over
Kangquan Li, Sihem Mesnager, Longjiang Qu
-to- mappings over finite fields play an important role in symmetric cryptography, in particular in the constructions of APN functions, bent functions, semi-bent functions an…
On a conjecture about a class of permutation quadrinomials
Kangquan Li, Longjiang Qu, Chao Li +1
Very recently, Tu et al. presented a sufficient condition about , see Theorem 1.1, such that is…
On the Differential-Linear Connectivity Table of Vectorial Boolean Functions
Anne Canteaut, Lukas Kölsch, Chao Li +4
Vectorial Boolean functions are crucial building-blocks in symmetric ciphers. Different known attacks on block ciphers have resulted in diverse cryptographic criteria for vectorial…
On the Differential Linear Connectivity Table of Vectorial Boolean Functions
Kangquan Li, Chunlei Li, Chao Li +1
Vectorial Boolean functions are crucial building blocks in symmetric ciphers. Different known attacks on block ciphers have resulted in diverse cryptographic criteria of vectorial…
New Constructions of Permutation Polynomials of the Form over
Kangquan Li, Longjiang Qu, Qiang Wang
Permutation polynomials over finite fields have been studied extensively recently due to their wide applications in cryptography, coding theory, communication theory, among others.…
New Permutation Trinomials Constructed from Fractional Polynomials
Kangquan Li, Longjiang Qu, Chao Li +1
Permutation trinomials over finite fields consititute an active research due to their simple algebraic form, additional extraordinary properties and their wide applications in many…
New Classes of Permutation Binomials and Permutation Trinomials over Finite Fields
Kangquan Li, Longjiang Qu, Xi Chen
Permutation polynomials over finite fields play important roles in finite fields theory. They also have wide applications in many areas of science and engineering such as coding th…