Efficient SIMD Arithmetic Modulo a Mersenne Number
Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra, Peter L. Montgomery · 2011
This paper describes carry-less arithmetic operations modulo an integer 2^M-1 in the thousand-bit range, targeted at single instruction multiple data platforms and applications where overall throughput is the main performance criterion. Using an implementation on a cluster of PlayStation 3 game consoles a new record was set for the elliptic curve method for integer factorization.