Heretical 发表于 2025-3-25 05:46:03
Implementation of elliptic Curve cryptosystems,te fields. For a secure system, it is evident from the results of Chapter 5 that the curve and underlying field should be judiciously chosen. However we should point out that for a given underlying field there are a large number of suitable elliptic curve to choose from. If the logarithm problem inetiquette 发表于 2025-3-25 08:12:22
Counting Points on Elliptic Curves Over F2m,field . The algorithm has a running time of 0(log. . bit operations, and is rather cumbersome in practice. Buchmann and Muller 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 algenormous 发表于 2025-3-25 12:34:18
Book 1993hms for factoring integers and primalityproving, and in the construction of public key cryptosystems...Elliptic Curve Public Key Cryptosystems. provides an up-to-dateand self-contained treatment of elliptic curve-based public keycryptology. Elliptic curve cryptosystems potentially provideequivalentbeta-cells 发表于 2025-3-25 16:57:03
0893-3405 nt algorithms for factoring integers and primalityproving, and in the construction of public key cryptosystems...Elliptic Curve Public Key Cryptosystems. provides an up-to-dateand self-contained treatment of elliptic curve-based public keycryptology. Elliptic curve cryptosystems potentially provideegrandiose 发表于 2025-3-25 23:59:43
Balázs Király,Margit Pap,Ákos Pilgermajer . Unless otherwise stated, proofs of these results can be found in the book by J. Silverman . For an elementary introduction to elliptic curves, we recommend the notes by Charlap and Robbins , and also to the recent book by Silverman and Tate .Blanch 发表于 2025-3-26 01:00:14
https://doi.org/10.1007/b137592sed. In Section 4.1 we briefly survey the algorithms known for this problem. In Section 4.2, we demonstrate efficient reductions of the logarithm problems in singular elliptic curves and some other groups to the logarithm problem in a finite field.grotto 发表于 2025-3-26 06:03:03
http://reply.papertrans.cn/31/3078/307772/307772_27.pngFAWN 发表于 2025-3-26 10:33:01
Introduction to Elliptic Curves, . Unless otherwise stated, proofs of these results can be found in the book by J. Silverman . For an elementary introduction to elliptic curves, we recommend the notes by Charlap and Robbins , and also to the recent book by Silverman and Tate .注意到 发表于 2025-3-26 16:16:59
http://reply.papertrans.cn/31/3078/307772/307772_29.png不合 发表于 2025-3-26 18:51:45
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