Keyword : modular multiplication


Recursive Double-Size Modular Multiplications from Euclidean and Montgomery Multipliers
Masayuki YOSHINO Katsuyuki OKEYA Camille VUILLAUME 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2010/01/01
Vol. E93-A  No. 1 ; pp. 180-187
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
modular multiplicationRSAefficient implementationlow-end devicedouble-size technique
 Summary | Full Text:PDF(234.7KB)

Unified Dual-Radix Architecture for Scalable Montgomery Multiplications in GF(P) and GF(2n)
Kazuyuki TANIMURA Ryuta NARA Shunitsu KOHARA Youhua SHI Nozomu TOGAWA Masao YANAGISAWA Tatsuo OHTSUKI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/09/01
Vol. E92-A  No. 9 ; pp. 2304-2317
Type of Manuscript:  PAPER
Category: VLSI Design Technology and CAD
Keyword: 
elliptic curve cryptographydual-radixmodular multiplicationMontgomery multiplicationscalabilityunified
 Summary | Full Text:PDF(1.6MB)

A Hardware Algorithm for Modular Multiplication/Division Based on the Extended Euclidean Algorithm
Marcelo E. KAIHARA Naofumi TAKAGI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/12/01
Vol. E88-A  No. 12 ; pp. 3610-3617
Type of Manuscript:  PAPER
Category: VLSI Design Technology and CAD
Keyword: 
modular arithmeticmodular multiplicationmodular divisionMontgomery multiplicationextended Euclidean algorithmhardware algorithm
 Summary | Full Text:PDF(208KB)

Design Optimization of a High-Speed, Area-Efficient and Low-Power Montgomery Modular Multiplier for RSA Algorithm
Shoichi MASUI Kenji MUKAIDA Masahiko TAKENAKA Naoya TORII 
Publication:   IEICE TRANSACTIONS on Electronics
Publication Date: 2005/04/01
Vol. E88-C  No. 4 ; pp. 576-581
Type of Manuscript:  Special Section PAPER (Special Section on Low-Power LSI and Low-Power IP)
Category: Digital
Keyword: 
public key cryptosystemRSA algorithmMontgomery algorithmmodular multiplicationmultiplier-accumulator
 Summary | Full Text:PDF(952KB)

A Faster Modular Multiplication Based on Key Size Partitioning for RSA Public-Key Cryptosystem
Seok-Yong LEE Yong-Jin JEONG Oh-Jun KWON 
Publication:   IEICE TRANSACTIONS on Information and Systems
Publication Date: 2002/04/01
Vol. E85-D  No. 4 ; pp. 789-791
Type of Manuscript:  LETTER
Category: Applications of Information Security Techniques
Keyword: 
modular multiplicationRSAcryptographykey size partitioning
 Summary | Full Text:PDF(118.9KB)

On the Implementation of Public Key Cryptosystems against Fault-Based Attacks
Chi-Sung LAIH Fu-Kuan TU Yung-Cheng LEE 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1999/06/25
Vol. E82-A  No. 6 ; pp. 1082-1089
Type of Manuscript:  PAPER
Category: Information Security
Keyword: 
fault-based cryptanalysiserror detectionmodular multiplicationtamperfree devicesarithmetic codescryptosystems
 Summary | Full Text:PDF(426.9KB)

A Modular-Multiplication Algorithm Using Lookahead Determination
Hikaru MORITA Chung-Huang YANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/01/25
Vol. E76-A  No. 1 ; pp. 70-77
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
modular multiplicationmulti-precision arithmeticsmart carddigital signatureRobertson diagram
 Summary | Full Text:PDF(559.1KB)