Miftah al-Hisab
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Related Articles from SNS
On the History of the Square and Multiply Algorithm
arXiv:2606.00958v1 Announce Type: cross Abstract: The square-and-multiply algorithm, also known as binary exponentiation or repeated squaring, is a technique for fast exponentiation commonly used in modern cryptography and computational number theory. Despite its prominence, the historical origins of the algorithm are not known with certainty. This paper critically examines the origins and formalization of the algorithm through primary source analysis.
On the History of the Square and Multiply Algorithm
arXiv:2606.00958v2 Announce Type: replace-cross Abstract: The square-and-multiply algorithm, also known as binary exponentiation or repeated squaring, is a technique for fast exponentiation commonly used in modern cryptography and computational number theory. Despite its prominence, the historical origins of the algorithm are not known with certainty. This paper critically examines the origins and formalization of the algorithm through primary source analysis.