Keyword : multi-scalar multiplication

Improving Width-3 Joint Sparse Form to Attain Asymptotically Optimal Complexity on Average Case
Hiroshi IMAI Vorapong SUPPAKITPAISARN 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2015/06/01
Vol. E98-A  No. 6 ; pp. 1216-1222
Type of Manuscript:  Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
analysis of algorithms, number representation, elliptic curve cryptography, multi-scalar multiplication, width-3 joint sparse form, 
 Summary | Full Text:PDF
A New Upper Bound for the Minimal Density of Joint Representations in Elliptic Curve Cryptosystems
Erik DAHMEN Katsuyuki OKEYA Tsuyoshi TAKAGI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2007/05/01
Vol. E90-A  No. 5 ; pp. 952-959
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
elliptic curve cryptosystem, joint sparse form, left-to-right, multi-scalar multiplication, shamir method, 
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Use of Montgomery Trick in Precomputation of Multi-Scalar Multiplication in Elliptic Curve Cryptosystems
Katsuyuki OKEYA Kouichi SAKURAI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/01/01
Vol. E86-A  No. 1 ; pp. 98-112
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Asymmetric Ciphers
Keyword: 
elliptic curve cryptography, multi-scalar multiplication, precomputation, Montgomery trick, simultaneous, 
 Summary | Full Text:PDF