BALANCEDNESS

作品数：8被引量：17H指数：2
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Inference after covariate-adaptive randomisation:aspects of methodology and theory被引量：1
《Statistical Theory and Related Fields》2021年第3期172-186,共15页Jun Shao 
supported by the National Natural Science Foundation of China(11831008);the U.S.National Science Foundation(DMS-1914411).
Covariate-adaptive randomisation has a more than 45 years of history of applications in clinical trials,in order to balance treatment assignments across prognostic factors that may have influence on the outcomes of in...
关键词：balancedness of assignments efficiency model-assisted approach model free inference stratification survival analysis 
A Combinatorial Condition and Boolean Functions with Optimal Algebraic Immunity被引量：1
《Journal of Systems Science & Complexity》2015年第3期725-742,共18页JIN Qingfang LIU Zhuojun WU Baofeng ZHANG Xiaoming 
supported by the National Basic Research Program of China under Grant No.2011CB302400
This paper first proposes an infinite class of 2k-variable Boolean functions with high nonlinearity and high algebraic degree. Then an infinite class of balanced Boolean functions are proposed by modifying the above B...
关键词：Algebraic degree algebraic immunity BALANCEDNESS Bent function Boolean function nonlinearity. 
On cross-correlation indicators of an S-box被引量：2
《Frontiers of Computer Science》2011年第4期448-453,共6页Sheng GAO Wenping MA Zepeng ZHUO Fenghe WANG 
Substitution boxes （S-boxes） are often used as the most important nonlinear components in many symmetric encryption algorithms. The cryptographic properties of an S-box directly affect the security of the whole ciph...
关键词：CRYPTOGRAPHY Boolean functions substitu-tion boxes BALANCEDNESS generalized global avalanchecharacteristics CROSS-CORRELATION 
On the Uniformly Balancedness of Graphs
《Chinese Quarterly Journal of Mathematics》2010年第4期565-571,共7页WEN Yi-hui 
Supported by the Natural Science Foundation of Shanxi Province（2008011010）; Supported by the Scientific Research and Key Subject Foundation of University of Science and Technology of Suzhou
In this paper,the definition of absolutely balanced and uniformly balanced for graphs are introduced,the difference between balance graphs are pointed out.Using（p,p＋1）-graph as an example,we explained the existence...
关键词：balance graph absolutely balance uniformly balance balance index set 
On the number of rotation symmetric Boolean functions被引量：8
《Science China(Information Sciences)》2010年第3期537-545,共9页FU ShaoJing LI Chao QU LongJiang 
supported by the National Natural Science Foundation of China (Grant No. 60803156);the Open Research Fund of State Key Laboratory of Information Security (Grant No. 01–07);the Open Research Fund of National Mobile Communications Research Laboratory of Southeast University (Grant No. W200807).
Rotation symmetric Boolean functions （RSBFs） have been used as components of different cryptosystems. This class of functions are invariant under circular translation of indices. In this paper, we investigated balan...
关键词：CRYPTOGRAPHY rotation symmetry correlation immunity BALANCEDNESS 
Probabilistic Analysis Methods of S-Boxes and Their Applications
《Chinese Journal of Electronics》2009年第3期504-508,共5页LIU Fuyun DONG Qingkuan XIAO Guozhen 
This work is supported by the National Natural Science Foundation of China （No.60603010, No.60873233） and the Open Subject of State Key Laboratory of Information Security （Graduate School of Chinese Academy of Sciences） （No.03-06）.
The relations between cryptographic properties of S-box and its component functions are researched in this paper. First, the concepts of k-k independence and probability product function of S-box are introduced, the i...
关键词：Cryptography  S-boxes  Balancedness  Correlation immunity Probability product function. 
A Class of Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity被引量：4
《Wuhan University Journal of Natural Sciences》2008年第6期702-706,共5页LI Chunlei ZENG Xiangyong SU Wei HU Lei 
Supported by the National Natural Science Foundation of China ( 60603012);the Foundation of Hubei Provincial Department of Education, China (D200610004)
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.
关键词：rotation symmetric Boolean functions（RSBFs） algebraic immunity NONLINEARITY BALANCEDNESS Krawtchouk polynomial 
On the construction of cryptographically strong Boolean functions with desirable trade-off被引量：1
《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第5期358-364,共7页REN Kui PARK Jaemin KIM Kwangjo 
This paper proposes a practical algorithm for systematically generating strong Boolean functions (f:GF(2) n →GF(2)) with cryptographic meaning. This algorithm takes bent function as input and directly outputs the res...
关键词：Boolean functions Bent sequences NONLINEARITY GAC PC BALANCEDNESS 
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