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作者:Xiubin Fan , Hongyan Zang
来源:[J].Theoretical Computer Science(IF 0.489), 2016, Vol.630, pp.76-94Elsevier
摘要:Abstract(#br)The General Number Sieve is the most efficient algorithm for integer factorization. It consists of polynomial selection, sieving, solving equations and finding square roots. Root lifting of polynomial is discussed in this paper. The p - adic evaluation provided by ea...
作者:Shenghui Su , Shuwang Lü , Xiubin Fan
来源:[J].Theoretical Computer Science(IF 0.489), 2011, Vol.412 (39), pp.5374-5386Elsevier
摘要:Abstract(#br)It is well known that the inverse function of y = x with the derivative y ′ = 1 is x = y , the inverse function of y = c with the derivative y ′ = 0 is nonexistent, and so on. Hence, on the assumption that the noninvertibility of the univariate increasing functi...
作者:... Liang He , ZhaoPeng Dai , XiuBin Fan
来源:[J].Science in China Series A: Mathematics(IF 0.701), 2008, Vol.51 (3), pp.407-415Springer
摘要:Abstract(#br)The probabilities of the state transitions of the initial value S 0 in the S table of RC4 are described by a kind of bistochastic matrices, and then a computational formula for such bistochastic matrices is given, by which the mathematical expectation of the number o...
作者:... Kejian Xu , Tongsen Sun , Xiubin Fan
来源:[J].Journal of Systems Science and Complexity(IF 0.263), 2012, Vol.25 (5), pp.1014-1031Springer
摘要:Abstract(#br)For a class of generalized Feistel block ciphers, an explicit formula for the minimum numbers of linearly active S -boxes of any round r is presented.
作者:Xiubin Fan , Liping Ding
来源:[J].Journal of Systems Science and Complexity(IF 0.263), 2012, Vol.25 (6), pp.1215-1222Springer
摘要:Abstract(#br)This paper studies the property of the recursive sequences in the 3 x + 1 conjecture. The authors introduce the concept of µ function, with which the 3 x + 1 conjecture can be transformed into two other conjectures: one is eventually periodic conjecture of the µ...
作者:... Fengmei Liu , Kun Li , Xiubin Fan
来源:[C].Proceedings of the 2016 International Conference on Artificial Intelligence: Technologies and Applications2016Atlantis出版社
摘要:Mass, energy and information are the three important quantities in the physical world. The diffusion and confusion of information is the guiding ideology of cipher algorithm coding. Linear transformation is generally used to realize the diffusion of information and S-box is used ...
作者:... Hongyan Zang , Xiubin Fan , Yu Wang
来源:[C].Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 20152015Atlantis出版社
摘要:The general number sieve is the most efficient algorithm known integer factorization, it consists of polynomial selection, sieving, solving equations and finding square roots. In this paper, the evaluation provided by each root and the expected value are given, then we get the sp...
作者:Xiubin Fan , Chuankun Wu
来源:[B].Lecture Notes in Computer Science;;Lecture Notes in Computer Science;;Lecture Notes in Computer Science;;Lecture Notes in Computer Science;;Lecture Notes in Computer Science2012Springer
摘要:Abstract F-FCSR-H v2 is one of the 8 final stream ciphers in the eSTREAM portfolio. However, it was broken by M. Hell and T. Johansson at ASIACRYPT 2008 by exploiting the bias in the carry cells of a Galois FCSR. In order to resist this attack, at SAC 2009 F. Arnault $et \ a...

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