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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Veröffentlicht in:	IEEE transactions on emerging topics in computing Jg. 13; H. 3; S. 1259 - 1271
Hauptverfasser:	Sugizaki, Yukimasa, Takahashi, Daisuke
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York IEEE 01.07.2025 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	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-Zugang:	Volltext
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