An Analysis of Double Base Number Systems and a Sublinear Scalar Multiplication Algorithm

Progress in Cryptology – Mycrypt 2005 - Lecture Notes in Computer Science ◽

10.1007/11554868_12 ◽

2005 ◽

pp. 171-182 ◽

Author(s):

Mathieu Ciet ◽

Francesco Sica

Keyword(s):

Scalar Multiplication ◽

Base Number ◽

Multiplication Algorithm ◽

Number Systems ◽

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Bounds and trade-offs for Double-Base Number Systems

Information Processing Letters ◽

10.1016/j.ipl.2011.02.008 ◽

2011 ◽

Vol 111 (10) ◽

pp. 488-493 ◽

Author(s):

Tiancheng Lou ◽

Xiaoming Sun ◽

Christophe Tartary

Keyword(s):

Base Number ◽

Number Systems ◽

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A Graph Theoretic Analysis of Double Base Number Systems

Lecture Notes in Computer Science - Progress in Cryptology – INDOCRYPT 2007 ◽

10.1007/978-3-540-77026-8_12 ◽

2007 ◽

pp. 152-166 ◽

Author(s):

Pradeep Kumar Mishra ◽

Vassil Dimitrov

Keyword(s):

Base Number ◽

Theoretic Analysis ◽

Graph Theoretic ◽

Number Systems ◽

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Efficient Window-Based Scalar Multiplication on Elliptic Curves Using Double-Base Number System

Lecture Notes in Computer Science - Progress in Cryptology – INDOCRYPT 2007 ◽

10.1007/978-3-540-77026-8_27 ◽

2007 ◽

pp. 351-360 ◽

Author(s):

Rana Barua ◽

Sumit Kumar Pandey ◽

Ravi Pankaj

Keyword(s):

Elliptic Curves ◽

Number System ◽

Scalar Multiplication ◽

Base Number ◽

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Fast Scalar Multiplication Algorithm Using Constrained Triple-Base Number System and Its Applications

2015 10th International Conference on Broadband and Wireless Computing, Communication and Applications (BWCCA) ◽

10.1109/bwcca.2015.24 ◽

2015 ◽

Author(s):

Yunqi Dou ◽

Jiang Weng ◽

Chuangui Ma ◽

Fushan Wei

Keyword(s):

Number System ◽

Scalar Multiplication ◽

Base Number ◽

Multiplication Algorithm

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Scalar multiplication for twisted Edwards curves using the extended double-base number system

JSIAM Letters ◽

10.14495/jsiaml.6.37 ◽

2014 ◽

Vol 6 (0) ◽

pp. 37-39

Author(s):

Yasunori Mineo ◽

Shigenori Uchiyama

Keyword(s):

Number System ◽

Scalar Multiplication ◽

Base Number ◽

Edwards Curves ◽

Double Base ◽

Twisted Edwards Curves

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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 ◽

Author(s):

Parinya CHALERMSOOK ◽

Hiroshi IMAI ◽

Vorapong SUPPAKITPAISARN

Keyword(s):

Lower Bounds ◽

Number System ◽

Base Number ◽

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An improved wNAF scalar-multiplication algorithm with low computational complexity by using prime precomputation

IEEE Access ◽

10.1109/access.2021.3061124 ◽

2021 ◽

pp. 1-1

Author(s):

Huang Hai ◽

Na Ning ◽

Xing Lin ◽

Liu Zhiwei ◽

Yu Bin ◽

...

Keyword(s):

Computational Complexity ◽

Scalar Multiplication ◽

Low Computational Complexity ◽

Multiplication Algorithm

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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 ◽

Author(s):

Kriangyut Wangjitman ◽

Athasit Surarerks

Keyword(s):

Number System ◽

Base Number ◽

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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 ◽

Author(s):

Jiajia Chen ◽

Chip-Hong Chang

Keyword(s):

Filter Design ◽

Number System ◽

Base Number ◽

Double Base ◽

Fir Filter Design

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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 ◽

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