9 citations · 19 across the 20 of their papers we have counts for
12 papers · 1 filter
Isometries and MacWilliams Extension Property for Weighted Poset Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the cartesian product of a family of left modules over a ring , indexed by a finite set . We are concerned with the -weight on $\mathbf{H}…
Reflexivity of Partitions Induced by Weighted Poset Metric and Combinatorial Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the Cartesian product of a family of finite abelian groups. Via a polynomial approach, we give sufficient conditions for a partition of induced by…
Fourier-Reflexive Partitions Induced by Poset Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the cartesian product of a family of finite abelian groups indexed by a finite set . A given poset (i.e., partially ordered set) $\mathbf{P}=(Ω,\preccurlyeq_…
Constructing new APN functions through relative trace functions
Lijing Zheng, Haibin Kan, Yanjun Li +2
In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66(11): 7081-7087, 2020] considered an infinite family of quadrinomials over of the form $x^3+a(x^{2^s+1})…
A Galois Connection Approach to Wei-Type Duality Theorems
Yang Xu, Haibin Kan, Guangyue Han
In , Wei proved a duality theorem that established an interesting connection between the generalized Hamming weights of a linear code and those of its dual code. Wei's dualit…
Constructing vectorial bent functions via second-order derivatives
Lijing Zheng, Jie Peng, Haibin Kan +1
Let be an even positive integer, and be one of its positive divisors. In this paper, inspired by a nice work of Tang et al. on constructing large classes of bent function…
On constructions and properties of -functions with maximal number of bent components
Lijing Zheng, Jie Peng, Haibin Kan +2
For any positive integers and such that , in this paper we show the maximal number of bent components of any -functions is equal to , and…
A Novel Construction of Low-Complexity MDS Codes with Optimal Repair Capability for Distributed Storage Systems
Sheng Guan, Haibin Kan, Xin Wang
Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS…
On the Minimum Decoding Delay of Balanced Complex Orthogonal Design
Xiaodong Liu, Yuan Li, Haibin Kan
Complex orthogonal design (COD) with parameter is a combinatorial design used in space-time block codes (STBCs). For STBC, is the number of antennas, is the r…
Capacity Factors of a Point-to-point Network
Yuan Li, Yue Zhao, Haibin Kan
In this paper, we investigate some properties on capacity factors, which were proposed to investigate the link failure problem from network coding. A capacity factor (CF) of a netw…
On the nonexistence of , odd, complex orthogonal design
Yuan Li, Haibin Kan
Complex orthogonal designs (CODs) are used to construct space-time block codes. COD with parameter is a matrix, where nonzero entries are fi…
Complex Orthogonal Designs with Forbidden Submatrices
Yuan Li, Haibin Kan
Complex orthogonal designs (CODs) are used to construct space-time block codes. COD with parameter is a matrix, where nonzero entries are f…