Suchergebnisse - even-variable Boolean function analysis

Analysis of the number of even-variable boolean functions with maximum algebraic immunity von Xiong, Xiaowen, Ma, Chi, Yang, Xia

“… In this paper, we investigate the enumeration of Boolean functions with MAI, and provide a new lower bound on the number of even-variable Boolean functions with MAI …”
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Constructing even-variable RSBFs with higher nonlinearity, optimal AI and almost optimal FAI von Chen, Yindong, Ruan, Jie, He, Xuxi

“… In cryptography, rotation symmetric Boolean functions (RSBFs) have very significant research value …”
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SAO 1-Resilient Functions With Lower Absolute Indicator in Even Variables von Li, Yanjun, Kan, Haibin, Peng, Jie, Tan, Chik How

“… In 2018, Tang and Maitra presented a class of balanced Boolean functions in <inline-formula> <tex-math notation="LaTeX">n </tex-math></inline-formula> variables with the absolute indicator …”
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Construction of balanced even-variable Boolean functions with optimal algebraic immunity von Su, Sihong

“… As an application, we present a new construction of balanced even-variable Boolean functions on with optimal algebraic immunity by modifying the outputs of majority function …”
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1-Resilient Boolean Functions on Even Variables with Almost Perfect Algebraic Immunity von Zheng, Dong, Zhou, Qifeng, Li, Xiangxue, Yu, Yu, Han, Gang, Li, Hui

“… a generalized and new class of Boolean functions on even variables by extending the Carlet-Feng functions …”
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Constructions of even-variable RSBFs with optimal algebraic immunity and high nonlinearity von Sun, Lei, Fu, Fang-Wei

“… Recent research shows that the class of rotation symmetric Boolean functions is potentially rich in functions of cryptographic significance …”
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Construction of even-variable rotation symmetric Boolean functions with maximum algebraic immunity von Fu, ShaoJing, Li, Chao, Matsuura, Kanta, Qu, LongJiang

“… Rotation symmetric Boolean functions （RSBFs） have been used as components of different cryp- tosysterns …”
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Construction and search of balanced Boolean functions on even number of variables towards excellent autocorrelation profile von Kavut, Selçuk, Maitra, Subhamoy, Tang, Deng

“… n ≥ 46 . The case for n ≡ 0 mod 4 could not be solved in the said paper and it has also been pointed out that though theoretically not proved, such constructions may provide further interesting examples of Boolean functions …”
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On Boolean functions with several flat spectra von Wu, Gaofei, Parker, Matthew Geoffrey

“… In this paper, two constructions of Boolean functions which have at least two flat spectra with respect to { H , N } n are proposed …”
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Boolean functions optimizing most of the cryptographic criteria von Tu, Ziran, Deng, Yingpu

“… ► We consider the construction of Boolean functions with good cryptographic properties. ► We construct Boolean functions on even variables which are 1-resilient, with optimal algebraic degree, optimal algebraic immunity and very high nonlinearity …”
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Balanced 2k-variable rotation symmetric Boolean functions with optimal algebraic immunity von Sun, Lei, Liu, Jian, Fu, Fang-Wei

“… The nonlinearity of our new functions is significantly higher than all previously obtained even-variable rotation symmetric Boolean functions with optimal algebraic immunity …”
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Balanced Boolean functions with optimum algebraic degree, optimum algebraic immunity and very high nonlinearity von Wang, Qichun, Tan, Chik How

“… It is a difficult challenge to construct Boolean functions with good cryptographic properties …”
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Balanced 2 k -variable rotation symmetric Boolean functions with optimal algebraic immunity von Sun, Lei, Liu, Jian, Fang-Wei, Fu

“… The nonlinearity of our new functions is significantly higher than all previously obtained even-variable rotation symmetric Boolean functions with optimal algebraic immunity …”
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Identification and construction of Boolean functions with maximum algebraic immunity von Liu, MeiCheng, Pei, DingYi, Du, YuSong

“… It is known that Boolean functions on odd variables have maximum algebraic immunity if and only if a correlative matrix has column full rank, and Boolean functions on even variables have maximum …”
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任意偶变元上代数免疫度最优的平衡旋转对称布尔函数的构造 von Qing-Lan, ZHAO, Pan, LI, ZHENG, Dong, Meng-Ran, LI, Jian-Dong, ZHANG, 赵庆兰, 李盼, 郑东, 李梦苒, 张建东

“… 旋转对称布尔函数是一类在输入进行循环移位的条件下输出保持不变的布尔函数. 此类函数因具有特殊的结构并且包括许多具有良好密码学性质的布尔函数而在密码学领域受到广泛 …”
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Constructing and Counting Even-Variable Symmetric Boolean Functions with Algebraic Immunity not Less Than \(d\) von Li, Yuan, Wang, Hui, Kan, Haibin

“… In this paper, we explicitly construct a large class of symmetric Boolean functions on \(2k …”
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Construction of Boolean functions with maximum algebraic immunity and count of their annihilators at lowest degree von Du, YuSong, Pei, DingYi

“… ). In this paper, Boolean functions of even variables with the maximum AI are investigated. The number of independent annihilators at the lowest degree of Boolean functions of even variables with the maximum AI is determined …”
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具有最优代数免疫度的偶数元旋转对称布尔函数的构造 von Yin-Dong, CHEN, ZHANG, Ya-Nan, TIAN, Wei, 陈银冬, 张亚楠, 田 威

“… 代数免疫度是布尔函数的一个具有重要意义的密码学指标，具有高代数免疫度的布尔函数能够更有效地抵抗代数攻击。旋转对称布尔函数因其良好的密码学性质而成为密码学函数的优 …”
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A Quantum Algorithm for Boolean Functions Processing von Aljuaydi, Fahad, AbdelAzim, Samar, Darwish, Mohamed M., Zidan, Mohammed

“… Detecting junta variables is a critical issue in Boolean function analysis, circuit design optimization, and machine learning feature selection …”
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Model analysis of the bases of multistationarity in the humoral immune response von Kaufman, M, Thomas, R

“… : a logical analysis in terms of discrete (boolean) variables and functions and a more classical analysis in terms of differential equations …”
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