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- Ziran Tu, Xiangyong Zeng, Lei Hu
- Finite Fields and Their Applications
- 2014

- Fanxin Zeng, Xiaoping Zeng, Zhenyu Zhang, Xiangyong Zeng, Guixin Xuan, Lingna Xiao
- Journal of Communications and Networks
- 2012

Based on the known binary sequence sets and Gray mapping, a new method for constructing quaternary sequence sets is presented and the resulting sequence sets' properties are investigated. As three direct applications of the proposed method, when we choose the binary aperiodic, periodic, and Z-complementary sequence sets as the known binary sequence sets,… (More)

- Xiangyong Zeng, Claude Carlet, Jinyong Shan, Lei Hu
- IEEE Transactions on Information Theory
- 2011

In this paper, three constructions of balanced Boolean functions with optimal algebraic immunity are proposed. It is checked that, at least for small numbers of input variables, these functions have good behavior against fast algebraic attacks as well. Other cryptographic properties such as algebraic degree and nonlinearity of the constructed functions are… (More)

- Xiangyong Zeng, Han Cai, Xiaohu Tang, Yang Yang
- IEEE Transactions on Information Theory
- 2013

In this paper, a new generalized cyclotomy with respect to a positive odd integer is introduced, and a construction of frequency hopping sequence sets and two constructions of frequency hopping sequences are proposed as its applications. The frequency hopping sequence sets and frequency hopping sequences obtained in this paper can be optimal with respect to… (More)

- Xiaohu Tang, Deng Tang, Xiangyong Zeng, Lei Hu
- IACR Cryptology ePrint Archive
- 2010

In this paper, we present a class of 2k-variable balanced Boolean functions and a class of 2k-variable 1-resilient Boolean functions for an integer k ≥ 2, which both have the maximal algebraic degree and very high nonlinearity. Based on a newly proposed conjecture by Tu and Deng, it is shown that the proposed balanced Boolean functions have optimal… (More)

- Wenjie Jia, Xiangyong Zeng, Tor Helleseth, Chunlei Li
- IEEE Transactions on Information Theory
- 2012

This paper studies a class of binomial functions over the finite fields of odd characteristic and characterizes their bentness in terms of the Kloosterman sums. Numerical results show that the proposed class contains bent functions that are affinely inequivalent to all known monomial and binomial ones.

- Ziran Tu, Xiangyong Zeng, Lei Hu, Chunlei Li
- ArXiv
- 2013

For a prime power q, let Fq be the finite field with q elements and F ∗ q denote its multiplicative group. A polynomial f ∈ Fq[x] is called a permutation polynomial (PP) if its associated polynomial mapping f : c 7→ f(c) from Fq to itself is a bijection. A permutation polynomial f(x) is referred to as a complete permutation polynomial (CPP) if f(x)+x is… (More)

- Claude Carlet, Xiangyong Zeng, Chunlei Li, Lei Hu
- IACR Cryptology ePrint Archive
- 2007

Thanks to a method proposed by Carlet, several classes of balanced Boolean functions with optimum algebraic immunity are obtained. By choosing suitable parameters, for even n ≥ 8, the balanced n-variable functions can have nonlinearity 2n−1− `n−1 n 2−1 ́ + 2 ` n−2 n 2−2 ́ /(n− 2), and for odd n, the functions can have nonlinearity 2n−1 − `n−1 n−1 2 ́ +… (More)

- Dabin Zheng, Xiaoqiang Wang, Xiangyong Zeng, Lei Hu
- Des. Codes Cryptography
- 2015

Let m, k be positive integers, p be an odd prime and π be a primitive element of Fpm . In this paper, we determine the weight distribution of a family of cyclic codes Ct over Fp, whose duals have two zeros π and −π−t, where t satisfies t ≡ p+1 2 p (mod p−1 2 ) for some τ ∈ {0, 1, · · · ,m− 1}.

- Siwei Sun, Lei Hu, Yonghong Xie, Xiangyong Zeng
- CANS
- 2011