1995Electronics LettersRequires access

Improved generalisation common-multiplicandmultiplications algorithm of Yen and Laih

Chung‐Hsien Wu, Yuh-Shihng Chang

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Abstract

Yen and Laih proposed an algorithm for efficient computation of the common-multiplicand multiplications problem {X × Yi|i = 1, 2, ..., t; t ≥ 2}, which is very useful for public key cryptographic exponentiation computation. By using a k-times folding technique, the authors present an improved generalisation of the algorithm of Yen and Laih and show that the improvement needs fewer multiplications compared with the original algorithm of Yen and Laih.

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What this paper is about

Yen and Laih proposed an algorithm for efficient computation of the common-multiplicand multiplications problem {X × Yi|i = 1, 2, ..., t; t ≥ 2}, which is very useful for public key cryptographic exponentiation computation. By using a k-times folding technique, the authors present an improved generalisation of the algorithm of Yen and Laih and show that the improvement needs fewer multiplications compared with the original algorithm of Yen and Laih.

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Available abstract

Yen and Laih proposed an algorithm for efficient computation of the common-multiplicand multiplications problem {X × Yi|i = 1, 2, ..., t; t ≥ 2}, which is very useful for public key cryptographic exponentiation computation. By using a k-times folding technique, the authors present an improved generalisation of the algorithm of Yen and Laih and show that the improvement needs fewer multiplications compared with the original algorithm of Yen and Laih.

Key concepts: Exponentiation, Computation, Multiplication (music), Arithmetic, Computer science, Algorithm, Key (lock), Modular exponentiation

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