Efficient and low‐complexity hardware architecture of Gaussian normal basis multiplication over GF(2
            
              m
            
            ) for elliptic curve cryptosystems

Bahram Rashidi; Sayed Masoud Sayedi; Reza Rezaeian Farashahi

doi:10.1049/iet-cds.2015.0337

Efficient and low‐complexity hardware architecture of Gaussian normal basis multiplication over GF(2 m ) for elliptic curve cryptosystems

IET Circuits Devices & Systems ◽

10.1049/iet-cds.2015.0337 ◽

2017 ◽

Vol 11 (2) ◽

pp. 103-112 ◽

Cited By ~ 9

Author(s):

Bahram Rashidi ◽

Sayed Masoud Sayedi ◽

Reza Rezaeian Farashahi

Keyword(s):

Elliptic Curve ◽

Low Complexity ◽

Hardware Architecture ◽

Normal Basis ◽

Elliptic Curve Cryptosystems ◽

Gaussian Normal Basis

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Fast Irreducibility Testing for XTR Using a Gaussian Normal Basis of Low Complexity

Selected Areas in Cryptography - Lecture Notes in Computer Science ◽

10.1007/978-3-540-30564-4_10 ◽

2004 ◽

pp. 144-158

Author(s):

Soonhak Kwon ◽

Chang Hoon Kim ◽

Chun Pyo Hong

Keyword(s):

Low Complexity ◽

Normal Basis ◽

Gaussian Normal Basis

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Fast Elliptic Curve Point Counting Using Gaussian Normal Basis

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/3-540-45455-1_24 ◽

2002 ◽

pp. 292-307 ◽

Cited By ~ 6

Author(s):

Hae Young Kim ◽

Jung Youl Park ◽

Jung Hee Cheon ◽

Je Hong Park ◽

Jae Heon Kim ◽

...

Keyword(s):

Elliptic Curve ◽

Normal Basis ◽

Point Counting ◽

Gaussian Normal Basis

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A Parallel Processing Hardware Architecture for Elliptic Curve Cryptosystems

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings ◽

10.1109/icassp.2006.1660801 ◽

2006 ◽

Cited By ~ 17

Author(s):

K. Sakiyama ◽

E. De Mulder ◽

B. Preneel ◽

I. Verbauwhede

Keyword(s):

Parallel Processing ◽

Elliptic Curve ◽

Hardware Architecture ◽

Elliptic Curve Cryptosystems

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Gaussian normal basis multiplier over GF(2 m ) using hybrid subquadratic‐and‐quadratic TMVP approach for elliptic curve cryptography

IET Circuits Devices & Systems ◽

10.1049/iet-cds.2017.0015 ◽

2017 ◽

Vol 11 (6) ◽

pp. 579-588 ◽

Cited By ~ 1

Author(s):

Che Wun Chiou ◽

Yuh‐Sien Sun ◽

Cheng‐Min Lee ◽

Jim‐Min Lin ◽

Tai‐Pao Chuang ◽

...

Keyword(s):

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Normal Basis ◽

Gaussian Normal Basis

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Problems on Gaussian Normal Basis Multiplication for Elliptic Curve Cryptosystem

Advances in Intelligent Systems and Computing - Genetic and Evolutionary Computing ◽

10.1007/978-3-319-23207-2_20 ◽

2015 ◽

pp. 201-207

Author(s):

C. W. Chiou ◽

Y.-S. Sun ◽

C.-M. Lee ◽

Y.-L. Chiu ◽

J.-M. Lin ◽

...

Keyword(s):

Elliptic Curve ◽

Normal Basis ◽

Elliptic Curve Cryptosystem ◽

Gaussian Normal Basis

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Low-complexity digit-serial systolic Gaussian normal basis multiplier for curve-based cryptosystems

Journal of the Chinese Institute of Engineers ◽

10.1080/02533839.2014.955977 ◽

2014 ◽

Vol 38 (2) ◽

pp. 191-199

Author(s):

Che Wun Chiou ◽

Wen-Yo Lee ◽

Jim-Min Lin ◽

Yun-Chi Yeh ◽

Chiou-Yng Lee

Keyword(s):

Low Complexity ◽

Normal Basis ◽

Gaussian Normal Basis

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A Modified Low Complexity Digit-Level Gaussian Normal Basis Multiplier

Arithmetic of Finite Fields - Lecture Notes in Computer Science ◽

10.1007/978-3-642-13797-6_3 ◽

2010 ◽

pp. 25-40 ◽

Cited By ~ 14

Author(s):

Reza Azarderakhsh ◽

Arash Reyhani-Masoleh

Keyword(s):

Low Complexity ◽

Normal Basis ◽

Gaussian Normal Basis

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Implementation of elliptic curve cryptosystems over GF(2n) in optimal normal basis on a reconfigurable computer

Proceeding of the 2004 ACM/SIGDA 12th international symposium on Field programmable gate arrays - FPGA '04 ◽

10.1145/968280.968354 ◽

2004 ◽

Cited By ~ 3

Author(s):

Sashisu Bajracharya ◽

Chang Shu ◽

Kris Gaj ◽

Tarek El-Ghazawi

Keyword(s):

Elliptic Curve ◽

Normal Basis ◽

Elliptic Curve Cryptosystems

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Implementation of Elliptic Curve Cryptosystems over GF(2 $^{\mbox{\small n}}$ ) in Optimal Normal Basis on a Reconfigurable Computer

Field Programmable Logic and Application - Lecture Notes in Computer Science ◽

10.1007/978-3-540-30117-2_115 ◽

2004 ◽

pp. 1001-1005 ◽

Cited By ~ 2

Author(s):

Sashisu Bajracharya ◽

Chang Shu ◽

Kris Gaj ◽

Tarek El-Ghazawi

Keyword(s):

Elliptic Curve ◽

Normal Basis ◽

Elliptic Curve Cryptosystems ◽

Small N

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Low-Complexity Digit-Level Systolic Gaussian Normal Basis Multiplier

IEEE Transactions on Very Large Scale Integration (VLSI) Systems ◽

10.1109/tvlsi.2017.2720190 ◽

2017 ◽

Vol 25 (10) ◽

pp. 2817-2827 ◽

Cited By ~ 2

Author(s):

Qiliang Shao ◽

Zhenji Hu ◽

Shaobo Chen ◽

Pingxiuqi Chen ◽

Jiafeng Xie

Keyword(s):

Low Complexity ◽

Normal Basis ◽

Gaussian Normal Basis

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