14 citations · 60 across the 27 of their papers we have counts for
27 papers
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 Error Probability of the Random Matrix Ensemble over the Erasure Channel
Chin Hei Chan, Fang-Wei Fu, Maosheng Xiong
Using tools developed in a recent work by Shen and the second author, in this paper we carry out an in-depth study on the average decoding error probability of the random matrix en…
-uniform BCT permutations from generalized butterfly structure
Nian Li, Zhao Hu, Maosheng Xiong +1
As a generalization of Dillon's APN permutation, butterfly structure and generalizations have been of great interest since they generate permutations with the best known differenti…
On permutation quadrinomials and -uniform BCT
Nian Li, Maosheng Xiong, Xiangyong Zeng
We study a class of general quadrinomials over the field of size with odd and characterize conditions under which they are permutations with the best boomerang uniform…
Spectral distribution of random matrices from Mutually Unbiased Bases
Chin Hei Chan, Maosheng Xiong
We consider the random matrix obtained by picking vectors randomly from a large collection of mutually unbiased bases of , and prove that the spectral distribution co…
Codes, differentially -uniform functions and -designs
Chunming Tang, Cunsheng Ding, Maosheng Xiong
Special functions, coding theory and -designs have close connections and interesting interplay. A standard approach to constructing -designs is the use of linear codes with c…
Random Matrices from Linear Codes and Wigner's Semicircle Law II
Chin Hei Chan, Maosheng Xiong
Recently we considered a class of random matrices obtained by choosing distinct codewords at random from linear codes over finite fields and proved that under some natural algebrai…
On the boomerang uniformity of (quadratic) permutations over
Sihem Mesnager, Chunming Tang, Maosheng Xiong
At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new tool called Boomerang Connectivity Table (BCT) for measuring the resistance of a block cipher against the boo…
Steiner systems and -designs from ternary linear codes of length
Chunming Tang, Cunsheng Ding, Maosheng Xiong
Coding theory and -designs have close connections and interesting interplay. In this paper, we first introduce a class of ternary linear codes and study their parameters. We the…
Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes
Chin Hei Chan, Vahid Tarokh, Maosheng Xiong
It is known that the empirical spectral distribution of random matrices obtained from linear codes of increasing length converges to the well-known Marchenko-Pastur law, if the Ham…
Cyclic bent functions and their applications in codes, codebooks, designs, MUBs and sequences
Cunsheng Ding, Sihem Mesnager, Chunming Tang +1
Let be an even positive integer. A Boolean bent function on $\GF{m-1} \times \GF {}$ is called a \emph{cyclic bent function} if for any $a\neq b\in \GF {m-1}$ and $ε\in \GF…
Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes with corrigendum
Maosheng Xiong, Nian Li, Zhengchun Zhou +1
Cyclic codes are an important class of linear codes, whose weight distribution have been extensively studied. Most previous results obtained so far were for cyclic codes with no mo…
On cyclic codes of composite length and the minimal distance
Maosheng Xiong
In an interesting paper Professor Cunsheng Ding provided three constructions of cyclic codes of length being a product of two primes. Numerical data shows that many codes from thes…
Narrow-Sense BCH Codes over $\gf(q)$ with Length
Shuxing Li, Cunsheng Ding, Maosheng Xiong +1
Cyclic codes over finite fields are widely employed in communication systems, storage devices and consumer electronics, as they have efficient encoding and decoding algorithms. BCH…
Construction of Unit-Memory MDS Convolutional Codes
Chin Hei Chan, Maosheng Xiong
Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of great importance. There are very few general algebraic…
The Weight Hierarchy of Some Reducible Cyclic Codes
Maosheng Xiong, Shuxing Li, Gennian Ge
The generalized Hamming weights (GHWs) of linear codes are fundamental parameters, the knowledge of which is of great interest in many applications. However, to determine the GHWs…
Optimal cyclic codes with generalized Niho type zeroes and the weight distribution
Maosheng Xiong, Nian Li
In this paper we extend the works \cite{gegeng2,XLZD} further in two directions and compute the weight distribution of these cyclic codes under more relaxed conditions. It is inter…
Weight Distributions of a Class of Cyclic Codes with Arbitrary Number of Zeros II
Jing Yang, Lingli Xia, Maosheng Xiong
Cyclic codes are an important class of linear codes, whose weight distribution have been extensively studied. So far, most of previous results obtained were for cyclic codes with n…
Three New Families of Zero-difference Balanced Functions with Applications
Cunsheng Ding, Qi Wang, Maosheng Xiong
Zero-difference balanced (ZDB) functions integrate a number of subjects in combinatorics and algebra, and have many applications in coding theory, cryptography and communications e…
On positive proportion of rank zero twists of elliptic curves over Q
Maosheng Xiong
Extending the idea of \cite{dab2} and using the 2-descent method, we provide three general families of elliptic curves over Q such that a positive proportion of prime-twists of suc…
On a question of Babadi and Tarokh II
Jing Xia, Liuquan Wang, Maosheng Xiong
In this paper we continue to study a question proposed by Babadi and Tarokh \cite{ba2} on the mysterious randomness of Gold sequences. Upon improving their result, we establish the…
On a question of Babadi and Tarokh
Jing Xia, Maosheng Xiong
In a recent remarkable paper, Babadi and Tarokh proved the "randomness" of sequences arising from binary linear block codes in the sense of spectral distribution, provided that the…
Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field
Maosheng Xiong
For a function field over a finite field with as the field of constant, and a finite abelian group whose exponent is divisible by , we study the distrib…
The Weight Enumerator of Three Families of Cyclic Codes
Zhengchun Zhou, Aixian Zhang, Cunsheng Ding +1
Cyclic codes are a subclass of linear codes and have wide applications in consumer electronics, data storage systems, and communication systems due to their efficient encoding and…