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| 1 | A class of binary cyclic codes with five weights显示文摘In this paper, the dual code of the binary cyclic code of length 2 n-1 with three zeros α, α t 1 and α t 2 is proven to have five nonzero Hamming weights in the case that n 4 is even and t1 = 2 n/2 + 1, t2 = 2 n-1-2 n/2+1 + 1 or 2 n/2 + 3, where α is a primitive element of the finite field F 2 n . The dual code is a divisible code of level n/2+1, and its weight distribution is also completely determined. When n = 4, the dual code satisfies Ward's bound. | LI ChunLei 1 , ZENG XiangYong 1, & HU Lei 2 1 Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China 2 The State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China | 2010 | Science China Mathematics2010，53，12： | 5 |
| 2 | A Class of Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity显示文摘For an odd integer n≥ 7, this paper presented a class of n-variable rotation symmetric Boolean functions (RSBFs) with optimum algebraic immunity. The nonlinearity of the constructed functions is determined. | LI Chunlei ZENG Xiangyong SU Wei HU Lei | 2008 | Wuhan University Journal of Natural Sciences2008，13，6： | 4 |
| 3 | The Periods of a Class of Nonlinear Feedback Shift Register Sequences显示文摘In this paper, we discuss a class of n-stage Nonlinear feedback shift registers(NFSRs). Applying the knowledge of algebra, the least periods of the sequences generated by these NFSRs with symmetric feedback functions can be characterized. This approach simplifies the problem of determining the periods of the NFSR sequences and it generalizes some Cheng's results. | LIANG Wanwan ZENG Xiangyong XU Yunge | 2016 | Chinese Journal of Electronics2016，25，2： | 4 |
| 4 | Two families of Niho sequences having four-valued cross correlation with m-sequences Dedicated to Professor Yingbo Zhang on the Occasion of His 70th Birthday显示文摘For two odd integers m and s with 1≤s < m and gcd(m, s) = 1, let h satisfy h(2~s-1) ≡1(mod 2~m+ 1) and d =(h + 1)(2~m-1) + 1. The cross correlation function between a binary m-sequence of period 22~m-1 and its d-decimation sequence is proved to take four values, and the correlation distribution is completely determined. Let n be an even integer and k be an integer with 1≤k≤n/2. For an odd prime p and a p-ary m-sequence {s(t)} of period p^n-1, define u(t) =∑(p^k-1)/2 i=0 s(d_it), where d_i = ip^(n/2) + p^k-i and i = 0, 1,...,(p^k-1)/2. It is proved that the cross correlation function between {u(t)} and {s(t)} is three-valued or four-valued depending on whether k is equal to n/2 or not, and the distribution is also determined. | FAN JinMei XU YunGe XIA YongBo ZENG XiangYong | 2017 | Science China Mathematics2017，60，12： | 3 |
| 5 | More permutation polynomials with differential uniformity six显示文摘Differential analysis is one of the most important attacks threatening iterated block ciphers.To resist against differential attacks[1],the multioutput Boolean functions used in designing Sboxes should have low differential uniformity.For a positive integer n,the lowest differential uniformity of the functions from the finite field F_(2n)(for a prime power q,F_q denotes the finite field | Ziran TU Xiangyong ZENG Zhiyong ZHANG | 2018 | Science China(Information Sciences)2018，61，3： | 3 |
| 6 | Permutation polynomials with low differential uniformity over finite fields of odd characteristic显示文摘In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that the proposed functions over the finite field Fq are permutations if and only if q≡3(mod 4). | JIA WenJie ZENG XiangYong LI ChunLei HELLESETH Tor HU Lei | 2013 | Science China Mathematics2013，56，7： | 2 |
| 7 | On the linear span of a binary sequence family with optimal correlation properties显示文摘 | Zeng Xiangyong Hu Lei Liu J Q | 2008 | IEICE Transactions on Fundamentals2008，91，2： | 1 |
| 8 | Constructions of p-ary quadratic bent functions 显示文摘 | Li S H Hu L Zeng Xiangyong | 2008 | Acta Appl Math2008，100，： | 1 |
| 9 | A novel rhodamine-based thiacalix[4]arene fluorescent sensor for Fe3+ and Cr3+显示文摘 | XiangYong Zheng WenJuan Zhang Lan Mu Xi Zeng SaiFeng Xue Zhu Tao Takehiko Yamatob | 2010 | Journal of Inclusion Phenomena and Macrocyclic Chemistry (-)2010，，1： | 1 |
| 10 | Further crosscorrelation properties of sequences with decimation fac-tor d=pn+1/p+1-pn-1/2 显示文摘 | XIA Yongbo ZENG Xiangyong HU Lei | 2010 | Appl Algebra Eng Commun Comput2010，21，5： | 1 |
| 11 | More Balanced Boolean Functions with optimum Algebraic Immunity and Good Nonlinearity and Resistance to Fast Algebraic Attacks 显示文摘 | ZENG Xiangyong CARLET C SHAN Jinyong | 2011 | IEEE Transactions on Information Theory2011，57，9： | 1 |
| 12 | Further crosscorrelation properties of sequences with the decimation factor 显示文摘 | Xia Yongbo Zeng Xiangyong Hu Lei | 2010 | Appl Algebra Eng Commun Comput2010，21，5： | 1 |
| 13 | The large set of-ary Kasami sequences 显示文摘 | Xia Yongbo Zeng Xiangyong Hu Lei | 2010 | International Journal of Computer Mathematics2010，87，7： | 1 |
| 14 | On the Largest Linear Span of Binary Sequences with Period p^2 from Interleaved Construction显示文摘Let S be a family of binary sequences constructed from interleaved construction. The linear spans of binary sequences in S are studied in this paper. In order to achieve the largest linear span, a criterion is presented for the base sequences with period p, where p is a prime and 2 is a primitive root modulo p2. It is shown that any sequence in S has the largest linear span under the criterion. Moreover, such base sequences can be chosen easily. | LI Shenghua ZENG Xiangyong HU Lei | 2008 | Wuhan University Journal of Natural Sciences2008，13，6： | 1 |
| 15 | Constructions of p-ary quadratic Bent functions 显示文摘 | Li Shenghua Hu Lei Zeng Xiangyong | 2008 | Acta Appl Math2008，100，3： | 1 |
| 16 | A Construction of 1-Resilient Boolean Functions with Good Cryptographic Properties显示文摘 | SHAN Jinyong HU Lei ZENG Xiangyong LI Chunlei | 2018 | Journal of Systems Science & Complexity2018，31，4： | 1 |
| 17 | Non-Monomial Permutations with Differential Uniformity Six显示文摘 | TU Ziran ZENG Xiangyong | 2018 | Journal of Systems Science & Complexity2018，31，4： | 1 |
| 18 | A correspondence of almost split sequence between some categories显示文摘 | Zeng Xiangyong Zhang Yingbo | 2001 | Communications in Algebra2001，29，2： | 1 |
| 19 | On Hom-spaces of tame algebras显示文摘 | Raymundo Bautista Yuriy A. Drozd Xiangyong Zeng Yingbo Zhang | 2007 | Central European Journal of Mathematics2007，，2： | 1 |
| 20 | On the generalized large set of Kasami sequences显示文摘 | Wenfeng Jiang Lei Hu Xiangyong Zeng | 2010 | Applicable Algebra in Engineering Communication and Computing2010，，6： | 1 |
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