The double-base number system and  its application to elliptic curve cryptography

Vassil Dimitrov; Laurent Imbert; Pradeep K. Mishra

doi:10.1090/s0025-5718-07-02048-0

The double-base number system and its application to elliptic curve cryptography

Mathematics of Computation ◽

10.1090/s0025-5718-07-02048-0 ◽

2007 ◽

Vol 77 (262) ◽

pp. 1075-1105 ◽

Cited By ~ 26

Author(s):

Vassil Dimitrov ◽

Laurent Imbert ◽

Pradeep K. Mishra

Keyword(s):

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Number System ◽

Base Number ◽

Double Base

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The double-base number system in elliptic curve cryptography

2008 42nd Asilomar Conference on Signals, Systems and Computers ◽

10.1109/acssc.2008.5074514 ◽

2008 ◽

Author(s):

Christophe Doche ◽

Laurent Imbert

Keyword(s):

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Number System ◽

Base Number ◽

Double Base

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Extended Double-Base Number System with Applications to Elliptic Curve Cryptography

Progress in Cryptology - INDOCRYPT 2006 - Lecture Notes in Computer Science ◽

10.1007/11941378_24 ◽

2006 ◽

pp. 335-348 ◽

Cited By ~ 34

Author(s):

Christophe Doche ◽

Laurent Imbert

Keyword(s):

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Number System ◽

Base Number ◽

Double Base

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Two Lower Bounds for Shortest Double-Base Number System

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e98.a.1310 ◽

2015 ◽

Vol E98.A (6) ◽

pp. 1310-1312 ◽

Cited By ~ 2

Author(s):

Parinya CHALERMSOOK ◽

Hiroshi IMAI ◽

Vorapong SUPPAKITPAISARN

Keyword(s):

Lower Bounds ◽

Number System ◽

Base Number ◽

Double Base

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Addition transducer for double base number system

2006 International Symposium on Communications and Information Technologies ◽

10.1109/iscit.2006.339926 ◽

2006 ◽

Cited By ~ 3

Author(s):

Kriangyut Wangjitman ◽

Athasit Surarerks

Keyword(s):

Number System ◽

Base Number ◽

Double Base

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Double-Base Number System and Its Application in FIR Filter Design

Embedded Systems Design with Special Arithmetic and Number Systems ◽

10.1007/978-3-319-49742-6_11 ◽

2017 ◽

pp. 277-310 ◽

Cited By ~ 1

Author(s):

Jiajia Chen ◽

Chip-Hong Chang

Keyword(s):

Filter Design ◽

Number System ◽

Fir Filter ◽

Base Number ◽

Double Base ◽

Fir Filter Design

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Multipath Greedy Algorithm-for Canonical Representation of Numbers-in the Double Base Number System

The 3rd International IEEE-NEWCAS Conference, 2005. ◽

10.1109/newcas.2005.1496665 ◽

2005 ◽

Cited By ~ 6

Author(s):

G. Gilbert ◽

J.M.P. Langlois

Keyword(s):

Greedy Algorithm ◽

Number System ◽

Canonical Representation ◽

Base Number ◽

Double Base

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The Double-Base Number System (DBNS)

Multiple-Base Number System ◽

10.1201/b11652-2 ◽

2017 ◽

pp. 31-52

Keyword(s):

Number System ◽

Base Number ◽

Double Base

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Theory and applications for a double-base number system

Proceedings 13th IEEE Sympsoium on Computer Arithmetic ◽

10.1109/arith.1997.614878 ◽

2002 ◽

Cited By ~ 14

Author(s):

V.S. Dimitrov ◽

G.A. Jullien ◽

W.C. Miller

Keyword(s):

Number System ◽

Base Number ◽

Double Base

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Residue Number System as a side channel and fault injection attack countermeasure in elliptic curve cryptography

2016 International Conference on Design and Technology of Integrated Systems in Nanoscale Era (DTIS) ◽

10.1109/dtis.2016.7483807 ◽

2016 ◽

Cited By ~ 3

Author(s):

Apostolos P. Fournaris ◽

Louiza Papachristodoulou ◽

Lejla Batina ◽

Nicolas Sklavos

Keyword(s):

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Fault Injection ◽

Number System ◽

Residue Number System ◽

Side Channel ◽

Residue Number ◽

Fault Injection Attack

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Shared Processing Element Architecture for An Area and Power Efficient FIR Filter Design using Double Base Number System

Asian Journal of Research in Social Sciences and Humanities ◽

10.5958/2249-7315.2016.00760.7 ◽

2016 ◽

Vol 6 (8) ◽

pp. 2513 ◽

Cited By ~ 1

Author(s):

S. Saravanan ◽

K. Raja

Keyword(s):

Filter Design ◽

Number System ◽

Fir Filter ◽

Processing Element ◽

Base Number ◽

Power Efficient ◽

Double Base ◽

Fir Filter Design

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