IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2004-12-17 13:35
Experiments on the moduli p+1 and p+2 method for modular multiplication
Hidetaka Kojima, Akira Hayashi (Kanazawa Inst.Tech.)
Abstract (in Japanese) (See Japanese page) 
(in English) The algorithm proposed by A.Hayashi is one of the methods for fast modular multiplication, which is needed in many cryptographic algorithms such as RSA, DH key exchange, and ElGamal scheme among others.
This method makes use of $n+1$ and $n+2$ as moduli instead of $n$, and parallel computation with use of Chinese Remainder Theorem. We made comparison of computation time of modular multiplication between the above method and the usual one. We conclude that Hayashi's method outperforms the usual one in speed if the number of factors of $n+1$ and $n+2$ is greater than 2.
Keyword (in Japanese) (See Japanese page) 
(in English) modular exponentiation method / Chinese Remainder Theorem / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 104, no. 527, ISEC2004-99, pp. 7-10, Dec. 2004.
Paper # ISEC2004-99 
Date of Issue 2004-12-10 (ISEC) 
ISSN Print edition: ISSN 0913-5685
Download PDF

Conference Information
Committee ISEC  
Conference Date 2004-12-17 - 2004-12-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2004-12-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Experiments on the moduli p+1 and p+2 method for modular multiplication 
Sub Title (in English)  
Keyword(1) modular exponentiation method  
Keyword(2) Chinese Remainder Theorem  
1st Author's Name Hidetaka Kojima  
1st Author's Affiliation Kanazawa Institute of Technology (Kanazawa Inst.Tech.)
2nd Author's Name Akira Hayashi  
2nd Author's Affiliation Kanazawa Institute of Technology (Kanazawa Inst.Tech.)
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2004-12-17 13:35:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2004-99 
Volume (vol) vol.104 
Number (no) no.527 
Page pp.7-10 
Date of Issue 2004-12-10 (ISEC) 

[Return to Top Page]

[Return to IEICE Web Page]

The Institute of Electronics, Information and Communication Engineers (IEICE), Japan