2 citations · 4 across the 18 of their papers we have counts for
18 papers
New families of asymptotically optimal codebooks from vectorial dual-bent functions
Yadi Wei, Jiaxin Wang, Fang-Wei Fu +1
Codebooks with small maximum cross-correlation amplitudes play an important role in many applications, such as code division multiple access (CDMA) communication systems, multiple-…
Constructions and Characterizations of -Plateaued Partitions
Jiaxin Wang, Yadi Wei, Fang-Wei Fu +2
Bent partitions play a significant role in constructing bent functions and have rich connections with coding theory and combinatorics. In this paper, we introduce -plateaued par…
Designs, linear codes, plateaued functions, and their interconnections
Jong Yoon Hyun, Jieun Kwon, Jiaxin Wang +1
In this paper, we mainly investigate profound interconnections between combinatorial designs, linear codes, and Boolean functions.
Further results on bent partitions
Jiaxin Wang, Yadi Wei, Fang-Wei Fu
Bent partitions of play an important role in constructing (vectorial) bent functions, partial difference sets, and association schemes, where denotes an…
Self-orthogonal codes from plateaued functions and their applications in quantum codes and LCD codes
Yadi Wei, Jiaxin Wang, Fang-Wei Fu
Self-orthogonal codes have received great attention due to their important applications in quantum codes, LCD codes and lattices. Recently, several families of self-orthogonal code…
Association schemes arising from non-weakly regular bent functions
Yadi Wei, Jiaxin Wang, Fang-Wei Fu
Association schemes play an important role in algebraic combinatorics and have important applications in coding theory, graph theory and design theory. The methods to construct ass…
Self-Orthogonal Codes from Vectorial Dual-Bent Functions
Jiaxin Wang, Yadi Wei, Fang-Wei Fu +1
Self-orthogonal codes are a significant class of linear codes in coding theory and have attracted a lot of attention. In \cite{HLL2023Te,LH2023Se}, -ary self-orthogonal codes we…
Linear codes with few weights from non-weakly regular plateaued functions
Yadi Wei, Jiaxin Wang, Fang-Wei Fu
Linear codes with few weights have significant applications in secret sharing schemes, authentication codes, association schemes, and strongly regular graphs. There are a number of…
A Further Study of Vectorial Dual-Bent Functions
Jiaxin Wang, Fang-Wei Fu, Yadi Wei +1
Vectorial dual-bent functions have recently attracted some researchers' interest as they play a significant role in constructing partial difference sets, association schemes, bent…
Bent Partitions, Vectorial Dual-Bent Functions and Partial Difference Sets
Jiaxin Wang, Fang-Wei Fu, Yadi Wei
It is known that partial spreads is a class of bent partitions. In \cite{AM2022Be,MP2021Be}, two classes of bent partitions whose forms are similar to partial spreads were presente…
Constructions of linear codes with two or three weights from vectorial dual-bent functions
Jiaxin Wang, Zexia Shi, Yadi Wei +1
Linear codes with a few weights are an important class of codes in coding theory and have attracted a lot of attention. In this paper, we present several constructions of -ary l…
New results on vectorial dual-bent functions and partial difference sets
Jiaxin Wang, Fang-Wei Fu
Bent functions with certain additional properties play an important role in constructing partial difference sets, where denotes an -…
On the number of limit cycles for Bogdanov-Takens system under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, we study the bifurcate of limit cycles for Bogdanov-Takens system(, ) under perturbations of piecewise smooth polynomials of degree …
On the Dual of Generalized Bent Functions
Jiaxin Wang, Fang-Wei Fu
In this paper, we study the dual of generalized bent functions where is an -dimensional vector space over and …
Some New Constructions of Generalized Plateaued Functions
Jiaxin Wang, Fang-Wei Fu
Plateaued functions as an extension of bent functions play a significant role in cryptography, coding theory, sequences and combinatorics. In \cite{Mesnager9}, Mesnager \emph{et al…
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a switching curve , where is an arbitrary positive.…
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. By analyzing the obtained first order Melnikov funct…
On the number of limit cycles for polycycles and in quadratic Hamilton systems under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, by using Picard-Fuchs equations and Chebyshev criterion, we study the bifurcate of limit cycles for quadratic Hamilton system and : $\dot{x}= y+2a…