Improved Modular Multiplication Algorithms Using Solely IEEE 754 Binary Floating-Point Operations

In this paper, we propose three modular multiplication algorithms that use only the IEEE 754 binary floating-point operations. Several previous studies have used floating-point operations to perform modular multiplication. However, they considered only positive integers and did not utilize the dedic...

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Bibliographic Details
Published in:	IEEE transactions on emerging topics in computing Vol. 13; no. 3; pp. 1259 - 1271
Main Authors:	Sugizaki, Yukimasa, Takahashi, Daisuke
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.07.2025 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Approximation algorithms Arithmetic Codes Computer arithmetic Floating point arithmetic Instruction sets Integers Libraries multiple precision arithmetic numerical algorithms Polynomials Processors Training Transforms Vectors
ISSN:	2168-6750, 2168-6750
Online Access:	Get full text
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