Titlebook: Elliptic Curve Public Key Cryptosystems; Alfred Menezes Book 1993 Springer Science+Business Media New York 1993 Potential.algorithms.crypt

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Architecture as Topological Transformationfield . The algorithm has a running time of 0(log. . bit operations, and is rather cumbersome in practice. Buchmann and Muller [20] combined Schoof’s algorithm with Shanks’ baby-step giant-step algorithm, and were able to compute orders of curves over F., where . is a 27-decimal digit prime. The algorithm took 4.5 hours on a SUN-1 SPARC-station.

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The Springer International Series in Engineering and Computer Sciencehttp://image.papertrans.cn/e/image/307772.jpg

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Elliptic Curve Public Key Cryptosystems978-1-4615-3198-2Series ISSN 0893-3405

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0893-3405 ers in academia, government and industry who areconcerned with issues of data security. Because of the comprehensivetreatment, the book is also suitable for use as a text for advancedcourses on the subject..978-1-4613-6403-0978-1-4615-3198-2Series ISSN 0893-3405

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Introduction to Elliptic Curves, attempt to be complete in the presentation; rather we wish to expand upon the introduction to elliptic curves provided in Chapter 6 of Koblitz’s book [68]. Unless otherwise stated, proofs of these results can be found in the book by J. Silverman [140]. For an elementary introduction to elliptic cur

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The Discrete Logarithm Problem,ete logarithm problem has received a great deal of attention in recent years, and numerous algorithms which use a variety of techniques have been devised. In Section 4.1 we briefly survey the algorithms known for this problem. In Section 4.2, we demonstrate efficient reductions of the logarithm prob

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