Blar i Bergen Open Research Archive på forfatter "Li, Chunlei"
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Binary Linear Codes With Few Weights From Two-to-One Functions
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang (Journal article; Peer reviewed, 2021)In this paper, we apply two-to-one functions over b F 2n in two generic constructions of binary linear codes. We consider two-to-one functions in two forms: (1) generalized quadratic functions; and (2) (x 2t +x) e with ... -
Cryptographically strong permutations from the butterfly structure
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang (Journal article; Peer reviewed, 2021)Boomerang connectivity table is a new tool to characterize the vulnerability of cryptographic functions against boomerang attacks. Consequently, a cryptographic function is desired to have boomerang uniformity as low as ... -
The differential spectrum of a ternary power mapping
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor (Journal article; Peer reviewed, 2020)A function f(x)from the finite field GF(pn)to itself is said to be differentially δ-uniform when the maximum number of solutions x ∈GF(pn)of f(x +a) −f(x) =bfor any a ∈GF(pn)∗and b ∈GF(pn)is equal to δ. Let p =3and d =3n−3. ... -
The Differential Spectrum of the Power Mapping xpn−3
Yan, Haode; Xia, Yongbo; Li, Chunlei; Helleseth, Tor; Xiong, Maosheng; Luo, Jinquan (Journal article; Peer reviewed, 2022)Let n be a positive integer and p a prime. The power mapping xpn−3 over Fpn has desirable differential properties, and its differential spectra for p=2,3 have been determined. In this paper, for any odd prime p , by ... -
Encoding and decoding of several optimal rank metric codes
Kadir, Wrya Karim Kadir; Li, Chunlei; Zullo, Ferdinando (Journal article; Peer reviewed, 2022)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 matrices. First, we show the evaluation ... -
Further investigations on permutation based constructions of bent functions
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang (Journal article; Peer reviewed, 2023)Constructing bent functions by composing a Boolean function with a permutation was introduced by Hou and Langevin in 1997. The approach appears simple but heavily depends on the construction of desirable permutations. In ... -
Generalized low rank parity check codes
Franch, Ermes; Gaborit, Philippe; Li, Chunlei (Journal article, 2023)In this work we propose a family of Fq-linear lowrank parity check (LRPC) codes based on a bilinear product over Fmq defined by a generic 3-tensor over Fq. A particular choice of this tensor corresponds to the classical ... -
Interpolation-based Decoding of Nonlinear Maximum Rank Distance Codes
Li, Chunlei (Peer reviewed; Journal article, 2019)In this paper, we formulate a generic construction of MRD codes that covers almost all the newly found MRD codes. Among those MRD codes, we particularly investigate the encoding and decoding of a family of nonlinear MRD ... -
On decoding additive generalized twisted Gabidulin codes
Kadir, Wrya; Li, Chunlei (Journal article; Peer reviewed, 2020)In this paper, we consider an interpolation-based decoding algorithm for a large family of maximum rank distance codes, known as the additive generalized twisted Gabidulin codes, over the finite field Fqn for any prime ... -
On interpolation-based decoding of a class of maximum rank distance codes
Kadir, Wrya Karim Kadir; Li, Chunlei; Zullo, Ferdinando (Journal article; Peer reviewed, 2021)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 properties of the Dickson matrix associated with ... -
Optimal ternary cyclic codes with minimum distance four and five
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu (Journal article, 2014-11)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 families of optimal ternary cyclic codes are ... -
Sequences and Linear Codes from Highly Nonlinear Functions
Li, Chunlei (Doctoral thesis, 2014-06-16)Due to optimal nonlinearity and differential uniformity, perfect nonlinear (PN) and almost perfect nonlinear (APN) functions are of great importance in cryptography. It is interesting that they also define optimal objects ... -
Two new algorithms for error support recovery of low rank parity check codes
Franch, Ermes; Li, Chunlei (Journal article; Peer reviewed, 2023)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 decoding algorithms for [n, k]qm LRPC codes ... -
Two New Families of Quadratic APN Functions
Li, Kangquan; Zhou, Yue; Li, Chunlei; Qu, Longjiang (Journal article; Peer reviewed, 2022) -
The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials
Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng (Peer reviewed; Journal article, 2014-08)Let m ≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of three-weight cyclic codes C(1,e) over Fp, which have parity-check polynomial m1(x)me (x), are presented by examining general conditions ...