Titlebook: Algorithmic Number Theory; Third International Joe P. Buhler Conference proceedings 1998 Springer-Verlag Berlin Heidelberg 1998 Analysis.P

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書目名稱Algorithmic Number Theory影響因子(影響力)




書目名稱Algorithmic Number Theory影響因子(影響力)學科排名




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書目名稱Algorithmic Number Theory被引頻次




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巫婆

船員

On the performance of signature schemes based on elliptic curves,ractical sizes of fields and moduli, GF(.) is roughly twice as fast as GF(2.). Furthermore, the speed of ECDSA over GF(.) is similar to the speed of DSA; it is approximately 7 times faster than RSA for signing, and 40 times slower than RSA for verification (with public exponent 3).

Terminal

Shimura curve computations,se methods by working out several examples in varying degrees of detail. For instance, we compute coordinates for all the rational CM points on the curves . .(1) associated with the quaternion algebras over . ramified at {2,3}, {2,5}, {2,7}, and {3,5}. We conclude with a list of open questions that

違法事實

,Parallel implementation of Sch?nhage’s integer GCD algorithm,d GCD algorithm..Experiments on sequential architectures show that Sch?nhage‘s algorithm overcomes other GCD algorithms implemented in two well known multiple-precision packages for input sizes larger than about 50000 bytes. In the extended case this threshold drops to 10000 bytes. In these input ra

Carcinogen

thwart

暗指

Primality proving using elliptic curves: An update,oldwasser and Kilian on the one hand, and Atkin on the other. The latter algorithm uses the theory of complex multiplication. The algorithm, now called ECPP, has been used for nearly ten years. The purpose of this paper is to give an account of the recent theoretical and practical improvements of EC

bromide

absolve

A Montgomery-like square root for the Number Field Sieve,orm. Then the method was adapted for general numbers, and recently applied to the RSA-130 number [6], setting a new world record in factorization. The NFS has undergone several modifications since its appearance. One of these modifications concerns the last stage: the computation of the square root