Square-and-Multiply for Modular Exponentiation Input: base element x exponent H = -0 h;2' with h; € 0,1 and h; and modulus n „H Output: x4 mod n Initialization: r =x Algorithm: FOR i =t – 1 DOWNTO 0 r=r² mod n IF h; = 1 1 1.1 1.2 r = r•x mod n 2 RETURN (r)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Square-and-Multiply for Modular Exponentiation
Input:
base element x
exponent H = E-o h;2' with h; E 0,1 and h; = 1
and modulus n
„H
Output: x" mod n
Initialization: r=x
Algorithm:
1
FOR i =t – 1 DOWNTO 0
r= r² mod n
1.1
IF h; = 1
1.2
r=r•x mod n
RETURN (r)
Transcribed Image Text:Square-and-Multiply for Modular Exponentiation Input: base element x exponent H = E-o h;2' with h; E 0,1 and h; = 1 and modulus n „H Output: x" mod n Initialization: r=x Algorithm: 1 FOR i =t – 1 DOWNTO 0 r= r² mod n 1.1 IF h; = 1 1.2 r=r•x mod n RETURN (r)
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