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Linear Complexity of d-Ary Sequence Derived from Euler Quotients over GF(q)

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Chinese Journal of Electronics 2019年第3期28卷 529-534页

作者： YE Zhifan ke pinhui CHEN Zhixiong Fujian Provincial key Laboratory of Network Security and Cryptology Fujian Normal University Department of Mathematics and Physics Fujian Jiangxia University School of Mathematics Putian University

For an odd prime p and positive integers r,d such that 0 详细信息

For an odd prime p and positive integers r,d such that 0

关键词： Linear complexity Euler quotient d-ary sequence

New Secondary Constructions of Generalized Bent Functions

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Chinese Journal of Electronics 2021年第6期30卷 1022-1029页

作者： YANG Zhiyao ke pinhui CHEN Zhixiong Fujian Provincial key Laboratory of Network Security and Cryptology Fujian Normal University College of Mathematics and Informatics Fujian Normal University Fujian Provincial key Laboratory of Applied Mathematics Putian University

Three new secondary constructions of generalized bent functions are presented. We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al. A new secondary construction of generalized bent functions from four initial functions is also investigated. We demonstrate that many known constructions can be derived from our proposed construction as special cases by choosing proper initial functions and parameters. By modifying the new construction, a novel secondary construction of generalized bent functions from two initial generalized bent functions is obtained. For the binary case, the dual functions of the bent functions by our method are presented, which share the same formula as the indirect sum.

关键词： Algebra Cryptography Cryptography theory Algebra Bent function Generalized bent function Walsh-Hadamard transform Indirect sum

Ramp Scheme Based on CRT for Polynomial Ring over Finite Field

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Journal of Systems Science & Complexity 2023年第1期36卷 129-150页

作者： DING Jian ke pinhui LIN Changlu WANG Huaxiong College of Computer and Cyber Security Fujian Normal UniversityFuzhou 350007China School of Mathematics and Big Data Chaohu UniveristyHefei 238024China School of Mathematics and Statistics and Fujian Provincial Key Lab of Network Security and CryptologyFujian Normal UniversityFuzhou 350007China School of Physical and Mathematical Sciences Nanyang Technological UniversitySingapore 639798Singapore

Chinese Reminder Theorem(CRT)for integers has been widely used to construct secret sharing schemes for different scenarios,but these schemes have lower information rates than that of Lagrange interpolation-based *** ASIACRYPT 2018,Ning,et *** a perfect(r,n)-threshold scheme based on CRT for polynomial ring over finite field,and the corresponding information rate is one which is the greatest case for a(r,n)-threshold ***,for many practical purposes,the information rate of Ning,et *** is low and perfect security is too much *** this work,the authors generalize the Ning,et al.(r,n)-threshold scheme to a(t,r,n)-ramp scheme based on CRT for polynomial ring over finite field,which attains the greatest information rate(r−t)for a(t,r,n)-ramp ***,for any given 2≤r_(1)

关键词： Chinese Reminder Theorem polynomial ring ramp scheme threshold changeable secret sharing

On the Cross-Correlation Distribution of d-Ary Generalized Legendre-Sidelnikov Sequences

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Chinese Journal of Electronics 2018年第2期27卷 287-291页

作者： ke pinhui YE Zhifan ZHANG Shengyuan CHANG Zuling Fujian Provincial key Laboratory of Network Security and Cryptology Fujian Normal University School of Mathematics and Statistics Zhengzhou University

The cross-correlation distribution of constant multiple sequences of the d-ary generalized LegendreSidelnikov sequences is investigated via character sums. An upper on the cross-correlation values of the sequences is then presented. As a byproduct, the autocorrelation distribution of d-ary Sidelnikov sequence is completely determined, which is only known in a special case.

关键词： Autocorrelation Cross-correlation Legendre-Sidelnikov sequence Multiplicative character Finite field

Achieve Personalized Anonymity Through Query Blocks Exchanging

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China Communications 2016年第11期13卷 106-118页

作者： Chunguang Ma Lei Zhang Songtao Yang Xiaodong Zheng pinhui ke College of Computer Science and Technology Harbin Engineering University Fujian Provincial key Laboratory of Network Security and Cryptology Fujian Normal University College of Information and Electronic Technology Jiamusi University College of Applied Technology Qiqihar University

In cyberspace security,the privacy in location-based services(LBSs) becomes more critical. In previous solutions,a trusted third party(TTP) was usually employed to provide disturbance or obfuscation,but it may become the single point of failure or service bottleneck. In order to cope with this drawback,we focus on another important class,establishing anonymous group through short-range communication to achieve k-anonymity with collaborative users. Along with the analysis of existing algorithms,we found users in the group must share the same maximum anonymity degree,and they could not ease the process of preservation in a lower one. To cope with this problem,we proposed a random-QBE algorithm to put up with personalized anonymity in user collaboration algorithms,and this algorithm could preserve both query privacy and location privacy. Then we studied the attacks from passive and active adversaries and used entropy to measure user's privacy level. Finally,experimental evaluations further verify its effectiveness and efficiency.

关键词： cyberspace security location-based services collaborative users personalized anonymity query and location privacy

New classes of sequence families with low correlation by using multiplicative and additive characters

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Frontiers of Electrical and Electronic Engineering in China 2012年第3期7卷 308-311页

作者： pinhui ke Shengyuan ZHANG key Laboratory of Network Security and Cryptology Fujian NormalUniversity Fuzhou 350007 China

For an odd prime p, a new sequence family of period prom- 1, size （M-1）pmr is proposed using multi-plicative and additive characters. The upper bound for the maximum magnitude of nontrivial correlations of the sequence family is derived using well-known character sums. The upper bound is shown to be （r ＋ 1）√pm ＋ 3, which meets the Welch bound asymptotically.

关键词： finite field character sum correlation polyphase sequence Welch bound

Provably Secure Self-Certified Signature Schemes with Message Recovery

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China Communications 2012年第10期9卷 112-119页

作者： Zhang Shengyuan Tang Fei Lin Changlu ke pinhui key Laboratory of Network Security and Cryptology Fujian Normal University Fuzhou 350108 P. R. China

To solve the key escrow problem of the identity-based cryptosystem, Girault introduced the notion of a self-certified public key, which not only eliminates the need to authenticate a public key but also solves the key escrow problerrL This paper proposes a Self-Certified Signature （SCS） scheme with message recovery and two variants without using bilinear pairings： one is the authenticated encryption scheme in which only the designated re- ceiver can verify the signature, and the other is the authenticated encryption scheme with message linkage that deals with large messages. These three SCS schemes are provably secure in the random oracle model and are more efficient than previous schemes .

关键词： digital signature self-certified public key message recovery random oracle model

一类推广的二元Legendre-Sidelnikov序列的自相关分布

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电子与信息学报 2016年第2期38卷 303-309页

作者：柯品惠叶智钒常祖领福建省网络安全与密码技术重点实验室福州350117 郑州大学数学与统计学院郑州450001

推广的Legendre-Sidelnikov序列较之原序列有更好的平衡性质,但是关于该序列的周期自相关函数,迄今仅知道一些特殊移位的情形。该文利用有限域上特征和的相关性质,给出了推广的二元Legendre-Sidelnikov序列的自相关函数的完整分布。结... 详细信息

推广的Legendre-Sidelnikov序列较之原序列有更好的平衡性质,但是关于该序列的周期自相关函数,迄今仅知道一些特殊移位的情形。该文利用有限域上特征和的相关性质,给出了推广的二元Legendre-Sidelnikov序列的自相关函数的完整分布。结果表明当p≡3(mod 4)且q?p时,推广的Legendre-Sidelnikov序列较之原序列有更好的周期自相关函数的分布。

关键词： Legendre序列 Sidelnikov序列平衡性周期自相关乘法特征

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具有优自相关性质四元序列的若干注记

福建师范大学学报（自然科学版） 2020年第6期36卷 1-7页

作者：乔盼盼柯品惠福建师范大学数学与信息学院福建省网络安全与密码技术重点实验室福建福州350117

定义周期为偶数的四元序列关于自相关性质的等价性及基于4阶分圆类构造的优自相关四元序列的标准型,并由此给出两类具有优自相关性质的四元序列关于自相关等价的标准型,揭示这两类构造之间的联系.最后,分析具有这几类标准型的优自相关... 详细信息

定义周期为偶数的四元序列关于自相关性质的等价性及基于4阶分圆类构造的优自相关四元序列的标准型,并由此给出两类具有优自相关性质的四元序列关于自相关等价的标准型,揭示这两类构造之间的联系.最后,分析具有这几类标准型的优自相关四元序列在F4上的线性复杂度.

关键词：四元序列自相关函数等价性线性复杂度