Montgomery algorithm on elliptic curves over finite fields of character three
Application of Montgomery algorithm on elliptic curves defined over finite fields of character three was re-searched.Due to the structure of Montgomery algorithm,y-coordinate was ignored,a new formula to compute point ad-dition and point doubling was proposed to accelerate the scalar point multiplic...
| Published in: | Tongxin xuebao |
|---|---|
| Main Authors: | WANG Hong1, LI Bao1, YU Wei2 |
| Format: | Article |
| Language: | Chinese |
| Published: |
Editorial Department of Journal on Communications
2008-01-01
|
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74654028/ |
Similar Items
Montgomery algorithm on elliptic curves over finite fields of character three
by: WANG Hong1, et al.
Published: (2008-01-01)
by: WANG Hong1, et al.
Published: (2008-01-01)
Faster Montgomery and double-add ladders for short Weierstrass curves
by: Mike Hamburg
Published: (2020-08-01)
by: Mike Hamburg
Published: (2020-08-01)
EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01)
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01)
EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01)
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01)
Faster Complete Addition Laws for Montgomery Curves
by: Reza Rezaeian Farashahi, et al.
Published: (2024-09-01)
by: Reza Rezaeian Farashahi, et al.
Published: (2024-09-01)
RFID security authentication scheme based on Montgomery-form elliptic curve cryptography
by: Wumei ZHANG
Published: (2016-05-01)
by: Wumei ZHANG
Published: (2016-05-01)
RFID security authentication scheme based on Montgomery-form elliptic curve cryptography
by: Wumei ZHANG
Published: (2016-05-01)
by: Wumei ZHANG
Published: (2016-05-01)
An Optimized Point Multiplication Strategy in Elliptic Curve Cryptography for Resource-Constrained Devices
by: Nawras H. Sabbry, et al.
Published: (2024-03-01)
by: Nawras H. Sabbry, et al.
Published: (2024-03-01)
A Hybrid Approach for Efficient and Secure Point Multiplication on Binary Edwards Curves
by: Asher Sajid, et al.
Published: (2023-05-01)
by: Asher Sajid, et al.
Published: (2023-05-01)
A Crypto Accelerator of Binary Edward Curves for Securing Low-Resource Embedded Devices
by: Asher Sajid, et al.
Published: (2023-07-01)
by: Asher Sajid, et al.
Published: (2023-07-01)
Montgomery Reduction for Gaussian Integers
by: Malek Safieh, et al.
Published: (2021-02-01)
by: Malek Safieh, et al.
Published: (2021-02-01)
Faster Montgomery multiplication and Multi-Scalar-Multiplication for SNARKs
by: Gautam Botrel, et al.
Published: (2023-06-01)
by: Gautam Botrel, et al.
Published: (2023-06-01)
Nested Method for Optimizing Elliptic Curve Scalar Multiplication
by: N. Ghanim, et al.
Published: (2017-02-01)
by: N. Ghanim, et al.
Published: (2017-02-01)
Lookup Table-Based Design of Scalar Multiplication for Elliptic Curve Cryptography
by: Yan-Duan Ning, et al.
Published: (2024-03-01)
by: Yan-Duan Ning, et al.
Published: (2024-03-01)
Speed-Oriented Architecture for Binary Field Point Multiplication on Elliptic Curves
by: Jiakun Li, et al.
Published: (2019-01-01)
by: Jiakun Li, et al.
Published: (2019-01-01)
Secure ECDSA SRAM-PUF Based on Universal Single/Double Scalar Multiplication Architecture
by: Jingqi Zhang, et al.
Published: (2024-04-01)
by: Jingqi Zhang, et al.
Published: (2024-04-01)
A Compact and Low Latency SPM Architecture for ECC Cryptosystems
by: Khalid Javeed, et al.
Published: (2024-01-01)
by: Khalid Javeed, et al.
Published: (2024-01-01)
An Improved GN-AK Protocol Using Double-Base Scalar Multiplication and Point Halving over Elliptic Curves
by: Nicolae Constantinescu, et al.
Published: (2025-07-01)
by: Nicolae Constantinescu, et al.
Published: (2025-07-01)
Innovative Dual-Binary-Field Architecture for Point Multiplication of Elliptic Curve Cryptography
by: Jiakun Li, et al.
Published: (2021-01-01)
by: Jiakun Li, et al.
Published: (2021-01-01)
A High-Speed Scalable Dual-Field Montgomery Modular Multiplier Architecture
by: Yi CHEN, Xuan YANG, Han ZENG, Wei LI
Published: (2023-08-01)
by: Yi CHEN, Xuan YANG, Han ZENG, Wei LI
Published: (2023-08-01)
Performance Evaluation of Scalar Multiplication in Elliptic Curve Cryptography Implementation using Different Multipliers Over Binary Field GF (2233)
by: Alaa Mohammed Abdul-Hadi, et al.
Published: (2020-09-01)
by: Alaa Mohammed Abdul-Hadi, et al.
Published: (2020-09-01)
FPGA Implementation for Elliptic Curve Cryptography Algorithm and Circuit with High Efficiency and Low Delay for IoT Applications
by: Deming Wang, et al.
Published: (2023-05-01)
by: Deming Wang, et al.
Published: (2023-05-01)
An efficient method to generate elliptic curves
by: ZHOU Chang-ying1, et al.
Published: (2001-01-01)
by: ZHOU Chang-ying1, et al.
Published: (2001-01-01)
An efficient method to generate elliptic curves
by: ZHOU Chang-ying1, et al.
Published: (2001-01-01)
by: ZHOU Chang-ying1, et al.
Published: (2001-01-01)
An exploration of affine group laws for elliptic curves
by: Hisil Huseyin, et al.
Published: (2011-06-01)
by: Hisil Huseyin, et al.
Published: (2011-06-01)
The SPN Network for Digital Audio Data Based on Elliptic Curve Over a Finite Field
by: Ijaz Khalid, et al.
Published: (2022-01-01)
by: Ijaz Khalid, et al.
Published: (2022-01-01)
High-Speed and Unified ECC Processor for Generic Weierstrass Curves over GF(<i>p</i>) on FPGA
by: Asep Muhamad Awaludin, et al.
Published: (2021-02-01)
by: Asep Muhamad Awaludin, et al.
Published: (2021-02-01)
Anaesthesia management in an obese patient with a broken Montgomery tube – A case report
by: D. Gupta, MBBS, DNB, et al.
Published: (2025-09-01)
by: D. Gupta, MBBS, DNB, et al.
Published: (2025-09-01)
Area-Time-Efficient Secure Comb Scalar Multiplication Architecture Based on Recoding
by: Zhantao Zhang, et al.
Published: (2024-10-01)
by: Zhantao Zhang, et al.
Published: (2024-10-01)
A High-performance NTT/MSM Accelerator for Zero-knowledge Proof Using Load-balanced Fully-pipelined Montgomery Multiplier
by: Xiangren Chen, et al.
Published: (2024-12-01)
by: Xiangren Chen, et al.
Published: (2024-12-01)
Area-Time Efficient Hardware Implementation of Modular Multiplication for Elliptic Curve Cryptography
by: MD. Mainul Islam, et al.
Published: (2020-01-01)
by: MD. Mainul Islam, et al.
Published: (2020-01-01)
Efficient Scalar Multiplication of ECC Using Lookup Table and Fast Repeating Point Doubling
by: Fu-Jung Kan, et al.
Published: (2025-03-01)
by: Fu-Jung Kan, et al.
Published: (2025-03-01)
An Optimized Flexible Accelerator for Elliptic Curve Point Multiplication over NIST Binary Fields
by: Amer Aljaedi, et al.
Published: (2023-09-01)
by: Amer Aljaedi, et al.
Published: (2023-09-01)
Huff’s form for elliptic curves over a local ring
by: Abdelhakim Chillali, et al.
Published: (2025-03-01)
by: Abdelhakim Chillali, et al.
Published: (2025-03-01)
Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
by: Baghdad Science Journal
Published: (2016-12-01)
by: Baghdad Science Journal
Published: (2016-12-01)
Efficient Algorithm for Multi-Scalar Multiplication of Elliptic Curves Using Multi-Base Number System
by: YOU Wenzhu, GE Haibo
Published: (2021-02-01)
by: YOU Wenzhu, GE Haibo
Published: (2021-02-01)
Families of elliptic curves with rational 3-torsion
by: Moody Dustin, et al.
Published: (2012-02-01)
by: Moody Dustin, et al.
Published: (2012-02-01)
Low-Cost, Low-Power FPGA Implementation of ED25519 and CURVE25519 Point Multiplication
by: Mohamad Ali Mehrabi, et al.
Published: (2019-09-01)
by: Mohamad Ali Mehrabi, et al.
Published: (2019-09-01)
Cryptanalysis and improvement of an encryption scheme that uses elliptic curves over finite fields
by: Malik Zia, et al.
Published: (2021-12-01)
by: Malik Zia, et al.
Published: (2021-12-01)
WİLLİAM MONTGOMERY WATT VE İLK DEVİR İSLAM TARİHİNE TARİHSELCİ BAKIŞ
by: Hasan Hüseyin Adalıoğlu
Published: (2008-11-01)
by: Hasan Hüseyin Adalıoğlu
Published: (2008-11-01)
Similar Items
-
Montgomery algorithm on elliptic curves over finite fields of character three
by: WANG Hong1, et al.
Published: (2008-01-01) -
Faster Montgomery and double-add ladders for short Weierstrass curves
by: Mike Hamburg
Published: (2020-08-01) -
EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01) -
EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
by: ZHANG Bao-hua1, et al.
Published: (2008-01-01) -
Faster Complete Addition Laws for Montgomery Curves
by: Reza Rezaeian Farashahi, et al.
Published: (2024-09-01)
