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STOC
2007
ACM
85views Algorithms» more  STOC 2007»
14 years 5 months ago
Faster integer multiplication
For more than 35 years, the fastest known method for integer multiplication has been the Sch?onhage-Strassen algorithm running in time O(n log n log log n). Under certain restricti...
Martin Fürer
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
13 years 10 months ago
Faster Scalar Multiplication on Koblitz Curves Combining Point Halving with the Frobenius Endomorphism
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica
CHES
2003
Springer
119views Cryptology» more  CHES 2003»
13 years 10 months ago
Faster Double-Size Modular Multiplication from Euclidean Multipliers
Abstract. A novel technique for computing a 2n-bit modular multiplication using n-bit arithmetic was introduced at CHES 2002 by Fischer and Seifert. Their technique makes use of an...
Benoît Chevallier-Mames, Marc Joye, Pascal P...
CHES
2005
Springer
83views Cryptology» more  CHES 2005»
13 years 10 months ago
Fast Truncated Multiplication for Cryptographic Applications
The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms...
Laszlo Hars
SPAA
1990
ACM
13 years 9 months ago
Hardware Speedups in Long Integer Multiplication
We present various experiments in Hardware/Software designtradeoffs met in speeding up long integer multiplications. This work spans over a year, with more than 12 different hardw...
Mark Shand, Patrice Bertin, Jean Vuillemin