Skew Frobenius Map and Efficient Scalar Multiplication for Pairing–Based Cryptography

Cryptology and Network Security - Lecture Notes in Computer Science ◽

10.1007/978-3-540-89641-8_16 ◽

2008 ◽

pp. 226-239 ◽

Author(s):

Yumi Sakemi ◽

Yasuyuki Nogami ◽

Katsuyuki Okeya ◽

Hidehiro Kato ◽

Yoshitaka Morikawa

Keyword(s):

Scalar Multiplication ◽

Frobenius Map ◽

Pairing Based Cryptography

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Speeding up the Scalar Multiplication in the Jacobians of Hyperelliptic Curves Using Frobenius Map

Progress in Cryptology — INDOCRYPT 2002 - Lecture Notes in Computer Science ◽

10.1007/3-540-36231-2_23 ◽

2002 ◽

pp. 285-295 ◽

Author(s):

YoungJu Choie ◽

Jong Won Lee

Keyword(s):

Hyperelliptic Curves ◽

Scalar Multiplication ◽

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An Improvement of Scalar Multiplication by Skew Frobenius Map with Multi-Scalar Multiplication for KSS Curve

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e100.a.1838 ◽

2017 ◽

Vol E100.A (9) ◽

pp. 1838-1845 ◽

Author(s):

Md. Al-Amin KHANDAKER ◽

Yasuyuki NOGAMI

Keyword(s):

Scalar Multiplication ◽

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New Table Look-Up Methods for Faster Frobenius Map Based Scalar Multiplication Over GF(p n )

Applied Cryptography and Network Security - Lecture Notes in Computer Science ◽

10.1007/978-3-540-24852-1_35 ◽

2004 ◽

pp. 479-493 ◽

Author(s):

Palash Sarkar ◽

Pradeep Kumar Mishra ◽

Rana Barua

Keyword(s):

Scalar Multiplication ◽

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Speeding up the scalar multiplication on binary Huff curves using the Frobenius map

International Journal of Algebra ◽

10.12988/ija.2014.311117 ◽

2014 ◽

Vol 8 ◽

pp. 9-16

Author(s):

Ahmed Youssef Ould Cheikh ◽

Demba Sow ◽

Djiby Sow

Keyword(s):

Scalar Multiplication ◽

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Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e92.a.182 ◽

2009 ◽

Vol E92-A (1) ◽

pp. 182-189 ◽

Author(s):

Yasuyuki NOGAMI ◽

Yumi SAKEMI ◽

Takumi OKIMOTO ◽

Kenta NEKADO ◽

Masataka AKANE ◽

...

Keyword(s):

Elliptic Curve ◽

Scalar Multiplication ◽

Ate Pairing ◽

Pairing Based Cryptography

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A Combination of Joint Sparse Form and Frobenius Map in Scalar Multiplication of Elliptic Curve over GF(2^{mn} )

2009 First International Workshop on Database Technology and Applications ◽

10.1109/dbta.2009.174 ◽

2009 ◽

Author(s):

Yong Ding ◽

Yin-fang Hong ◽

Wei-tao Wang ◽

Yuan-yuan Zhou ◽

Xiao-yang Zhao

Keyword(s):

Elliptic Curve ◽

Scalar Multiplication ◽

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Application of Scalar Multiplication of Edwards Curves to Pairing-Based Cryptography

Advances in Information and Computer Security - Lecture Notes in Computer Science ◽

10.1007/978-3-642-34117-5_2 ◽

2012 ◽

pp. 19-36 ◽

Author(s):

Takanori Yasuda ◽

Tsuyoshi Takagi ◽

Kouichi Sakurai

Keyword(s):

Scalar Multiplication ◽

Edwards Curves ◽

Pairing Based Cryptography

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Accelerating Twisted Ate Pairing with Frobenius Map, Small Scalar Multiplication, and Multi-pairing

Information, Security and Cryptology – ICISC 2009 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-14423-3_4 ◽

2010 ◽

pp. 47-64 ◽

Author(s):

Yumi Sakemi ◽

Shoichi Takeuchi ◽

Yasuyuki Nogami ◽

Yoshitaka Morikawa

Keyword(s):

Scalar Multiplication ◽

Ate Pairing ◽

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Implementation of an Elliptic Curve Scalar Multiplication Method Using Division Polynomials

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e97.a.300 ◽

2014 ◽

Vol E97.A (1) ◽

pp. 300-302 ◽

Author(s):

Naoki KANAYAMA ◽

Yang LIU ◽

Eiji OKAMOTO ◽

Kazutaka SAITO ◽

Tadanori TERUYA ◽

...

Keyword(s):

Elliptic Curve ◽

Scalar Multiplication ◽

Division Polynomials ◽

Elliptic Curve Scalar Multiplication

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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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