Computer Science – Mathematical Software
Scientific paper
2011-04-08
Computer Science
Mathematical Software
Scientific paper
This paper describes a new accumulate-and-add multiplication algorithm. The method partitions one of the operands and re-combines the results of computations done with each of the partitions. The resulting design turns-out to be both compact and fast. When the operands' bit-length $m$ is 1024, the new algorithm requires only $0.194m+56$ additions (on average), this is about half the number of additions required by the classical accumulate-and-add multiplication algorithm ($\frac{m}2$).
Chung Byungchun
Marcello Sandra
Mirbaha Amir-Pasha
Naccache David
Sabeg Karim
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