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Optimizing tweaked Montgomery curves and its application in isogeny-based cryptography

Cryptologia
Suhri Kim
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Optimized Arithmetic Operations for Isogeny-Based Cryptography on Huff Curves

2020
Up to now, the state-of-the-art implementations of Supersingular Isogeny Diffie-Hellman (SIDH) work with Montgomery curves or Edwards curves, due to the facts that such curve models provide high efficiency for elliptic curve arithmetic operations. In this work, we propose a new w-coordinate method to optimize the arithmetic operations on Huff curves ...
Yan Huang, Fangguo Zhang, Zhi Hu, Zhijie Liu   +3 more
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Protocol Construction and Parameter Selection for Supersingular Elliptic Curve Isogeny-based Cryptography

2023
either well studied isogeny problems that are believed to be hard or based on novel well ...
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The Glue-and-Split Attack: Breaking SIDH and the Road Ahead for Isogeny-Based Cryptography

The Supersingular Isogeny Diffie-Hellman (SIDH) key exchange protocol, along with its encapsulation variant SIKE, used to be seen as some of the most promising options for post-quantum cryptography. But everything changed in July 2022 when Wouter Castryck and Thomas Decru unveiled the "glue-and-split" attack, which effectively broke SIDH and SIKE in ...
Bordoloi, Nayan Jyoti, Kakati, Dr. Pankaj   +1 more
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SIKE’d Up: Fast Hardware Architectures for Supersingular Isogeny Key Encapsulation

IEEE Transactions on Circuits and Systems I: Regular Papers, 2020
Brian Koziel, Rami Elkhatib, Reza Azarderakhsh   +2 more
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Hardware Architecture for Supersingular Isogeny Diffie-Hellman and Key Encapsulation Using a Fast Montgomery Multiplier

IEEE Transactions on Circuits and Systems I: Regular Papers, 2021
Sayed Mohammad-Hossein Farzam, Siavash Bayat-Sarmadi, Armin Alivand   +2 more
exaly  

Implementation of Supersingular Isogeny-Based Diffie-Hellman and Key Encapsulation Using an Efficient Scheduling

IEEE Transactions on Circuits and Systems I: Regular Papers, 2020
Sayed Mohammad-Hossein Farzam, Siavash Bayat-Sarmadi   +1 more
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Isogeny-Based Cryptographic Access Control

, 2020
E. B. Aleksandrova, А. А. Shtyrkina, A. V. Yarmak   +2 more
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New Hybrid Method for Isogeny-Based Cryptosystems Using Edwards Curves

IEEE Transactions on Information Theory, 2020
Suhri Kim, Kisoon Yoon, Young-Ho Park
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Parallelization Techniques for Attacking the Computational Supersingular Isogeny Problem in Isogeny-based Cryptography

2022
Nguyen, Giang Nam, Bischof, Christian
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