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Speeding-up Exponentiation Protocols Based on Refereed Delegation of Computation
|關鍵字:||Tzung-Her Chen;指數運算(exponentiation);Kuen-Fang Jia;Hung-Min Sun;伺服器輔助(sever-aided);仲裁式委任計算（Delegation of Computation）||出版社:||資訊科學與工程學系所||引用:|| L.M. Adleman and J. DeMarrais, “A subexponential algorithm for discrete logarithms over all finite fields,” Advances in Cryptology - Crypto'93 Proceedings, LNCS 773, pp. 147-158, 1994.  M. Armbrust, A. Fox, R. Griffith et al. “Above the Clouds: A Berkeley View of Cloud Computing.” UCB/EECS-2009-28, EECS Department, University of California, Berkeley, 2009.  G.B. Agnew, R.C. Mullin, and S.A. Vanstone, Fast exponentiation in GF(2n), in Advances in Cryptology-Eurocrypt '88, Lecture Notes in Computer Science, Volume 330, Springer-Verlag, Berlin, 1988, pp. 251-255  D. Benjamin and M. J. Atallah, “Private and cheating-free outsourcing of algebraic computations,” in Proc. of 6th Conf. on Privacy, Security,and Trust (PST), 2008, pp. 240-245.  E. Brickell, D. M. Gordon, K. S. McCurley and D. 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本文我們將Van Dijk等人的協定延伸，提出基於仲裁式委任計算（Delegation of Computation）架構的伺服器輔助指數運算加速協定。我們的協定可允許部份伺服器出錯以及我們的協定屬於無條件安全且比Van Dijk等人來的有效率。
Exponentiation is a commonly used operation in most of cryptosystems and signature schemes. How to speed up exponentiation becomes important.
In some of the speeding up exponentiation protocols, they use an auxiliary processor or a server to aid the whole computing process. It is common to assume that the auxiliary processor or the server would be trusted, but this assumption is unrealistic in practice. Therefore, we need a secure server-aided speeding up exponentiation protocol.
In this thesis, we extend Van Dijk et al.''s protocol, and propose the secure speeding-up exponentiation protocols based on Refereed Delegation of Computation. Taking the factor of fault tolerance into consideration, our protocol allows a number of dishonest servers. Our protocol is unconditional secure and more efficient than Van Dijk et al.''s.
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