Yuansheng Tang

activity

20092026

most citedExponential Sums, Cyclic Codes and Sequences: the Odd Characteristic Kasami Case

9 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

cs.IT2026

On the degradations of Binary-Input Discrete Memoryless Channels

Yadong Jiao, Xiaoyan Cheng, Yuansheng Tang +1

For the polar codes introduced by Arikan in 2009, the first code family achieving the capacity of binary-input discrete memoryless channels (BIDMCs) with low-complexity encoding an…

math.CO2022

Girth of the algebraic bipartite graph $D (k, q)$

Ming Xu, Xiaoyan Cheng, Yuansheng Tang

For integer $k \geq 2$ and prime power $q$ , the algebraic bipartite graph $D (k, q)$ proposed by Lazebnik and Ustimenko (1995) is meaningful not only in extremal graph theory but also…

math.CO2022

On the girth cycles of the bipartite graph $D (k, q)$

Ming Xu, Xiaoyan Cheng, Yuansheng Tang

For integer $k \geq 2$ and prime power $q$ , the algebraic bipartite graph $D (k, q)$ proposed by Lazebnik and Ustimenko (1995) is meaningful not only in extremal graph theory but also…

math.CO2017

On a Generalization of the Bipartite Graph $D (k, q)$

Xiaoyan Cheng, Yuansheng Tang, Huaxiong Wang

In this paper, we deal with a generalization $Γ (Ω, q)$ of the bipartite graphs $D (k, q)$ proposed by Lazebnik and Ustimenko, where $Ω$ is a set of binary sequences that are adopted t…

cs.IT2009

Cyclic Codes and Sequences: the Generalized Kasami Case

Jinquan Luo, Hongyu Wang, Yuansheng Tang

Let $q = 2^{n}$ with $n = 2 m$ . Let $1 \leq k \leq n - 1$ and $k \neq = m$ . In this paper we determine the value distribution of following exponential sums \[\sum\limits_{x\in \bF_q}(-1)^{\Tra_…

cs.IT2009★ 9 cited

Exponential Sums, Cyclic Codes and Sequences: the Odd Characteristic Kasami Case

Jinquan Luo, Yuansheng Tang, Hongyu Wang

Let $q = p^{n}$ with $n = 2 m$ and $p$ be an odd prime. Let $0 \leq k \leq n - 1$ and $k \neq = m$ . In this paper we determine the value distribution of following exponential(character) sums \[\…

On the degradations of Binary-Input Discrete Memoryless Channels

Girth of the algebraic bipartite graph D(k,q)

On the girth cycles of the bipartite graph D(k,q)

On a Generalization of the Bipartite Graph D(k,q)

Cyclic Codes and Sequences: the Generalized Kasami Case

Exponential Sums, Cyclic Codes and Sequences: the Odd Characteristic Kasami Case

Girth of the algebraic bipartite graph $D (k, q)$

On the girth cycles of the bipartite graph $D (k, q)$

On a Generalization of the Bipartite Graph $D (k, q)$