Portal de Periódicos da CAPES

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

2012; Inderscience Publishers; Volume: 2; Issue: 3 Linguagem: Inglês

10.1504/ijact.2012.045590

1753-0571

Joppe W. Bos, Marcelo E. Kaihara, Thorsten Kleinjung, Arjen K. Lenstra, Peter L. Montgomery,

Cryptography and Data Security

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.