Yongbo Xia

activity

20162024

collaborators

4 papers

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

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…

On the Differential Properties of the Power Mapping xpm+2

The Differential Spectrum of the Power Mapping xpn−3

A new class of permutation trinomials constructed from Niho exponents

Three-Weight Ternary Linear Codes from a Family of Monomials

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

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