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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: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: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:... 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: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:... Hongyan Zang , Xiubin Fan , Yu Wang
来源:[C].2015 4th International Conference on Mechatronics,Materials,Chemistry and Computer Engineering(ICMMCCE 2015)2015CNKI
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 p-adic evaluation provided by each root and the expected p- value are given, the...
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作者:... Fengmei Liu , Kun Li , Xiubin Fan
来源:[C].2016 International Conference on Artificial Intelligence: Technologies and Applications (ICAITA 2016)2016CNKI
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 to ...
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作者:Xiubin Fan , Jimin Liu
来源:[C].Proceedings of 2019 International Conference on Computation and Information Sciences2019CNKI
摘要:The paper firstly introduces the relationship between industrial control and national strategy,gives action comparisons among important countries in the fields of industrial control information security(ICIS),and points out the gap of China.It is urgent to study ICIS technol...
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