Welcome to the resource topic for 2010/338
Title:
Efficient SIMD arithmetic modulo a Mersenne number
Authors: Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra, Peter L. Montgomery
Abstract: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.
ePrint: https://eprint.iacr.org/2010/338
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