A division algorithm for residue numbers

被引：12
|
作者：
Chang, CC [1 ]
Lai, YP
机构：
[1] Natl Chung Cheng Univ, Dept Comp Sci & Informat Engn, Chiayi 621, Taiwan
[2] Natl Def Univ, Dept Comp Sci & Informat Engn, Chung Cheng Inst Technol, Tauyuan 335, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 172卷 / 01期
关键词：
residue number system; multiplicative inverse; modular division; euclidean algorithm; moduli set conversion;
D O I：
10.1016/j.amc.2005.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the residue number system, modular multiplication, modular addition, and modular subtraction are closure operations. However, modular division is also important for applying the residue number system. Inspired by Gamberger's work, we create a division operation to be used in residue number system. In Gamberger's scheme, the transformation from residues to a binary integer is required for keeping the remainder. To eliminate the overhead in transformation, our scheme uses only the residues so that the computing efficiency can be improved. Besides, we also provide an efficient way to find a multiplicative inverse. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：368 / 378
页数：11
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