用草率约简在游戏机上求解一个112位素数椭圆曲线离散对数问题

Int. J. Appl. Cryptogr. Pub Date : 2012-02-01 DOI:10.1504/IJACT.2012.045590

Joppe W. Bos, Marcelo E. Kaihara, T. Kleinjung, A. Lenstra, P. L. Montgomery

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引用次数: 73

摘要

我们描述了一种用波拉德方法求解素数域上椭圆曲线群中的离散对数的元处理器实现。该实现在PlayStation 3游戏控制台集群上使用，创造了一个新记录。详细介绍了底层的单指令多数据模块化算法。

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Solving a 112-bit prime elliptic curve discrete logarithm problem on game consoles using sloppy reduction

We describe a cell processor implementation of Pollard's rho method to solve discrete logarithms in groups of elliptic curves over prime fields. The implementation was used on a cluster of PlayStation 3 game consoles to set a new record. We present in detail the underlying single instruction multiple data modular arithmetic.

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Int. J. Appl. Cryptogr.

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