27 citations · 68 across the 23 of their papers we have counts for
23 papers
Further Investigation on Differential Properties of the Generalized Ness-Helleseth Function
Yongbo Xia, Chunlei Li, Furong Bao +2
Let be an odd positive integer, be a prime with , and . The function defined by $f_u(x)=ux^{d_{1}}+x^{d_{…
An updated review on cross-correlation of m-sequences
Tor Helleseth, Chunlei Li
Maximum-length sequences (m-sequences for short) over finite fields are generated by linear feedback shift registers with primitive characteristic polynomials. These sequences have…
Further Investigations on Nonlinear Complexity of Periodic Binary Sequences
Qin Yuan, Chunlei Li, Xiangyong Zeng +2
Nonlinear complexity is an important measure for assessing the randomness of sequences. In this paper we investigate how circular shifts affect the nonlinear complexities of finite…
Two new algorithms for error support recovery of low rank parity check codes
Ermes Franch, Chunlei Li
Due to their weak algebraic structure, low rank parity check (LRPC) codes have been employed in several post-quantum cryptographic schemes. In this paper we propose new improved de…
Generalized LRPC codes
Ermes Franch, Philippe Gaborit, Chunlei Li
In this paper we generalize the notion of low-rank parity check (LRPC) codes by introducing a bilinear product over F^m q based on a generic 3-tensor in Fq^mxmxm, where Fq is the f…
Bivariate functions with low -differential uniformity
Yanan Wu, Pantelimon Stănică, Chunlei Li +2
Starting with the multiplication of elements in which is consistent with that over , where is a prime power, via some identification of the…
On the Differential Properties of the Power Mapping
Yuying Man, Yongbo Xia, Chunlei Li +1
Let be a positive integer and a prime. In this paper, we investigate the differential properties of the power mapping over , where or $…
Encoding and Decoding of Several Optimal Rank Metric Codes
Wrya K. Kadir, Chunlei Li, Ferdinando Zullo
This paper presents encoding and decoding algorithms for several families of optimal rank metric codes whose codes are in restricted forms of symmetric, alternating and Hermitian m…
The Differential Spectrum of the Power Mapping
Haode Yan, Yongbo Xia, Chunlei Li +3
Let be a positive integer and a prime. The power mapping over has desirable differential properties, and its differential spectra for $p=2,\,…
Decoding a class of maximum Hermitian rank metric codes
Wrya K. Kadir, Chunlei Li, Ferdinando Zullo
Maximum Hermitian rank metric codes were introduced by Schmidt in 2018 and in this paper we propose both interpolation-based encoding and decoding algorithms for this family of cod…
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 interpolation-based decoding of a class of maximum rank distance codes
Wrya K. Kadir, Chunlei Li, Ferdinando Zullo
In this paper we present an interpolation-based decoding algorithm to decode a family of maximum rank distance codes proposed recently by Trombetti and Zhou. We employ the properti…
Low Row Rank Parity Check Codes
Ermes Franch, Chunlei Li
In this paper we present an extended variant of low rank parity check matrix (LRPC) codes that have received significant interests in recent years. It is shown that the extension i…
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…
The resolution of Niho's last conjecture concerning sequences, codes, and Boolean functions
Tor Helleseth, Daniel J. Katz, Chunlei Li
A new method is used to resolve a long-standing conjecture of Niho concerning the crosscorrelation spectrum of a pair of maximum length linear recursive sequences of length $2^{2 m…
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…
Corrigendum to New Generalized Cyclotomic Binary Sequences of Period
Zibi Xiao, Xiangyong Zeng, Chunlei Li +1
New generalized cyclotomic binary sequences of period are proposed in this paper, where is an odd prime. The sequences are almost balanced and their linear complexity is…
Another Generalization of the Reed-Muller Codes
Cunsheng Ding, Chunlei Li, Yongbo Xia
The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over $\gf(q)$ in the literature. The major objective of this pap…
Three-Weight Ternary Linear Codes from a Family of Monomials
Yongbo Xia, Chunlei Li
Based on a generic construction, two classes of ternary three-weight linear codes are obtained from a family of power functions, including some APN power functions. The weight dist…
A Class of Binomial Permutation Polynomials
Ziran Tu, Xiangyong Zeng, Lei Hu +1
In this note, a criterion for a class of binomials to be permutation polynomials is proposed. As a consequence, many classes of binomial permutation polynomials and monomial comple…
Optimal Ternary Cyclic Codes with Minimum Distance Four and Five
Nian Li, Chunlei Li, Tor Helleseth +2
Cyclic codes are an important subclass of linear codes and have wide applications in data storage systems, communication systems and consumer electronics. In this paper, two famili…
On the weight distributions of several classes of cyclic codes from APN monomials
Chunlei Li, Nian Li, Tor Helleseth +1
Let be an odd integer and be an odd prime. % with , where is an odd integer. In this paper, many classes of three-weight cyclic codes over $\mathbb{F}_{…