Yongbo Xia

activity

20162024

most citedAnother Generalization of the Reed-Muller Codes

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CR2024

Further Investigation on Differential Properties of the Generalized Ness-Helleseth Function

Yongbo Xia, Chunlei Li, Furong Bao +2

Let $n$ be an odd positive integer, $p$ be a prime with $p \equiv 3 (mod 4)$ , $d_{1} = \frac{p ^{n} - 1}{2} - 1$ and $d_{2} = p^{n} - 2$ . The function defined by $f_u(x)=ux^{d_{1}}+x^{d_{…

cs.CR2022

On the Differential Properties of the Power Mapping $x^{p^{m} + 2}$

Yuying Man, Yongbo Xia, Chunlei Li +1

Let $m$ be a positive integer and $p$ a prime. In this paper, we investigate the differential properties of the power mapping $x^{p^{m} + 2}$ over $F_{p^{n}}$ , where $n = 2 m$ or $…

cs.IT2021

The Differential Spectrum of the Power Mapping $x^{p^{n} - 3}$

Haode Yan, Yongbo Xia, Chunlei Li +3

Let $n$ be a positive integer and $p$ a prime. The power mapping $x^{p^{n} - 3}$ over $F_{p^{n}}$ has desirable differential properties, and its differential spectra for $p=2,\,…

cs.IT2017

A new class of permutation trinomials constructed from Niho exponents

Tao Bai, Yongbo Xia

Permutation polynomials over finite fields are an interesting subject due to their important applications in the areas of mathematics and engineering. In this paper we investigate…

cs.IT2016

On the Correlation Distribution for a Ternary Niho Decimation

Yongbo Xia, Nian Li, Xiangyong Zeng +1

In this paper, let $n = 2 m$ and $d = 3^{m + 1} - 2$ with $m \geq 2$ and $g cd (d, 3^{n} - 1) = 1$ . By studying the weight distribution of the ternary Zetterberg code and counting the numbers of solu…

cs.IT2016★ 1 cited

Another Generalization of the Reed-Muller Codes

Cunsheng Ding, Chunlei Li, Yongbo Xia

The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over $\gf(q)$ in the literature. The major objective of this pap…

cs.IT2016

Three-Weight Ternary Linear Codes from a Family of Monomials

Yongbo Xia, Chunlei Li

Based on a generic construction, two classes of ternary three-weight linear codes are obtained from a family of power functions, including some APN power functions. The weight dist…