Signed Digit Representations of Minimal Hamming Weight
IEEE Transactions on Computers
Information Processing Letters
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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 ($\frac{m}2$).