9 citations · 65 across the 36 of their papers we have counts for
36 papers
The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions
Huawei Wu, Jing Yang, Keqin Feng
In this paper, we employ general results on the value distributions of perfect nonlinear functions from to together with a specific group action t…
Constructions of -uniform states in heterogeneous systems
Keqin Feng, Lingfei Jin, Chaoping Xing +1
A pure quantum state of parties associated with the Hilbert space $\CC^{d_1}\otimes \CC^{d_2}\otimes\cdots\otimes \CC^{d_n}$ is called -uniform if all the reductions to -…
Arithmetic autocorrelation distribution of binary -sequences
Xiaoyan Jing, Aixian Zhang, Keqin Feng
Binary -sequences are ones with the largest period among the binary sequences produced by linear shift registers with length . They have a wide range of application…
The 4-Adic Complexity of Interleaved Quaternary Sequences of Even Length with Optimal Autocorrelation
Xiaoyan Jing, Zhefeng Xu, Minghui Yang +1
Su et al. proposed several new classes of quaternary sequences of even length with optimal autocorrelation interleaved by twin-prime sequences pairs, GMW sequences pairs or binary…
Optimal Combinatorial Neural Codes with Matched Metric : Characterization and Constructions
Aixian Zhang, Xiaoyan Jin, Keqin Feng
Based on the theoretical neuroscience, G. Cotardo and A. Ravagnavi in \cite{CR} introduced a kind of asymmetric binary codes called combinatorial neural codes (CN codes for short),…
Constructions on Real Approximate Mutually Unbiased Bases
Minghui Yang, Aixian Zhang, Jiejing Wen +1
Mutually unbiased bases (MUB) have many applications in quantum information processing and quantum cryptography. Several complex MUB's in for some dimension and…
On the 4-Adic Complexity of Quaternary Sequences with Ideal Autocorrelation
Minghui Yang, Shiyuan Qiang, Xiaoyan Jing +2
In this paper, we determine the 4-adic complexity of the balanced quaternary sequences of period and with ideal autocorrelation defined by Kim et al. (ISIT, pp. 282…
Linear Complexity of Binary Interleaved Sequences of Period 4n
Qiuyue Liu, Shiyuan Qiang, Minghui Yang +1
Binary periodic sequences with good autocorrelation property have many applications in many aspects of communication. In past decades many series of such binary sequences have been…
Determination of the Autocorrelation Distribution and 2-Adic Complexity of Generalized Cyclotomic Binary Sequences of Order 2 with Period pq
Xiaoyan Jing, Shiyuan Qiang, Minghui Yang +1
The generalized cyclotomic binary sequences with period have good autocorrelation property where and are distinct odd primes.…
4-Adic Complexity of Interleaved Quaternary Sequences
Shiyuan Qiang, Xiaoyan Jing, Minghui Yang +1
Tang and Ding \cite{X. Tang} present a series of quaternary sequences interleaved by two binary sequences and with ideal autocorrelation and show that such interl…
The 4-Adic Complexity of A Class of Quaternary Cyclotomic Sequences with Period 2p
Shiyuan Qiang, Yan Li, Minghui Yang +1
In cryptography, we hope a sequence over with period having larger -adic complexity. Compared with the binary case, the computation of 4-adic complexity of kn…
-Congruent Numbers, Tiling Numbers and the Selmer Rank of Related Elliptic Curves: odd n
Qiuyue Liu, Jing Yang, Keqin Feng
Several discrete geometry problems are closely related to the arithmetic theory of elliptic curves defined on the rational fields . In this paper we consider the -co…
Determination of 2-Adic Complexity of Generalized Binary Sequences of Order 2
Minghui Yang, Keqin Feng
The generalized binary sequences of order 2 have been used to construct good binary cyclic codes [4]. The linear complexity of these sequences has been computed in [2]. The autocor…
On the Constructions of MDS Self-dual Codes via Cyclotomy
Aixian Zhang, Keqin Feng
MDS self-dual codes over finite fields have attracted a lot of attention in recent years by their theoretical interests in coding theory and applications in cryptography and combin…
An Unified Approach on Constructing of MDS Self-dual Codes via Reed-Solomon Codes
Aixian Zhang, Keqin Feng
Based on the fundamental results on MDS self-dual codes over finite fields constructed via generalized Reed-Solomon codes \cite{JX} and extended generalized Reed-Solomon codes \cit…
On the 2-adic complexity of a class of binary sequences of period with optimal autocorrelation magnitude
Minghui Yang, Lulu Zhang, Keqin Feng
Via interleaving Ding-Helleseth-Lam sequences, a class of binary sequences of period with optimal autocorrelation magnitude was constructed in \cite{W. Su}. Later, Fan showed…
On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences
Lulu Zhang, Jun Zhang, Minghui Yang +1
We determine the 2-adic complexity of the Ding-Helleseth-Martinsen (DHM) binary sequences by using cyclotomic numbers of order four, "Gauss periods" and "quadratic Gauss sum" on fi…
A new criterion on k-normal elements over finite fields
Aixian Zhang, Keqin Feng
The notion of normal elements for finite fields extension has been generalized as k-normal elements by Huczynska et al. [3]. The number of k-normal elements for a fixed finite fiel…
Non-existence of perfect binary sequences
X. Niu, H. Cao, K. Feng
Binary sequences with lower autocorrelation values have important applications in cryptography and communications. In this paper, we present all possible parameters for binary peri…
Perfect State Transfer on Abelian Cayley Graphs
Yingying Tan, Keqin Feng, Xiwang Cao
Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this paper we present a characterization o…
Cyclotomic Construction of Strong External Difference Families in Finite Fields
Jiejing Wen, Minghui Yang, Fangwei Fu +1
Strong external difference family (SEDF) and its generalizations GSEDF, BGSEDF in a finite abelian group are combinatorial designs raised by Paterson and Stinson [7] in 2016 an…
The -Strong External Difference Family with Exists
Jiejing Wen, Minghui Yang, Keqin Feng
The notion of strong external difference family (SEDF) in a finite abelian group is raised by M. B. Paterson and D. R. Stinson [5] in 2016 and motivated by its application…
Linear Codes over and Reaching the Griesmer Bound
Jin Li, Aixian Zhang, Keqin Feng
We construct two series of linear codes over finite ring and Galois ring respectively reaching the Griesmer bound. They derive two series of c…
Mutually unbiased maximally entangled bases in
Junying Liu, Minghui Yang, Keqin Feng
We study mutually unbiased maximally entangled bases (MUMEB's) in bipartite system . We generalize the method to construct MUMEB's given…