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Backtracking-Assisted Multiplication, by Houda Ferradi and R\'emi G\'eraud and Diana Maimut and David Naccache and Hang Zhou

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This paper describes a new multiplication algorithm, particularly suited to lightweight microprocessors when one of the operands is known in advance. The method uses backtracking to find a multiplicationfriendly encoding of the operand known in advance. A 68HC05 microprocessor implementation shows that the new algorithm indeed yields a twofold speed improvement over classical multiplication for 128-byte numbers.

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