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Efficient SIMD Arithmetic Modulo a Mersenne Number

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4 Author(s)
Bos, J.W. ; EPFL IC LACAL, Lausanne, Switzerland ; Kleinjung, T. ; Lenstra, A.K. ; Montgomery, P.L.

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.

Published in:

Computer Arithmetic (ARITH), 2011 20th IEEE Symposium on

Date of Conference:

25-27 July 2011