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<p><b>Abstract</b>—This paper describes new methods for producing optimal binary signed-digit representations. This can be useful in the fast computation of exponentiations. Contrary to existing algorithms, the digits are scanned from left to right (i.e., from the most significant position to the least significant position). This may lead to better performances in both hardware and software.</p>
Computer arithmetic, converter, signed-digit representation, redundant number representation, SD2 left-to-right recoding, canonical/minimum-weight/nonadjacent form, exponentiation, elliptic curves, smart-cards, cryptography.

S. Yen and M. Joye, "Optimal Left-to-Right Binary Signed-Digit Recoding," in IEEE Transactions on Computers, vol. 49, no. , pp. 740-748, 2000.
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