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

Joppe W. Bos, Marcelo E. Kaihara, Thorsten Kleinjung, Arjen K. Lenstra, Peter L. Montgomery · International Journal of Applied Cryptography · 2012

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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