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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/8731


    Title: Computing the modular inverses is as simple as computing the GCDs
    Authors: Liu, Chao-Liang;Horng, Gwoboa;Liu, Hsin-Yu
    Contributors: Department of Information Science and Applications
    Keywords: Algorithms;Numerical methods;Polynomials;Cryptology;Extended Euclidean algorithm;Finite fields;Greatest common divisors;Modular inverses
    Date: 2008
    Issue Date: 2010-04-07 21:34:17 (UTC+8)
    Publisher: Asia University
    Abstract: In 1997, Calvez, Azou, and Vilbe´ proposed a variation on Euclidean algorithm, which can calculate the greatest common divisors (GCDs) and inverses for polynomials. Inspired by their work, we propose a variation on the Euclidean algorithm, which uses only simple modulo operators, to compute the modular inverses. This variant only modifies the initial values and the termination condition of the Euclidean algorithm. Therefore, computing the modular inverses is as simple as computing the GCDs. © 2007 Elsevier Inc. All rights reserved.
    Relation: Finite Fields and their Applications 14:65-75
    Appears in Collections:[行動商務與多媒體應用學系] 期刊論文

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