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Optimizing tweaked Montgomery curves and its application in isogeny-based cryptography
CryptologiaSuhri Kim
exaly +3 more sources
Hybrid Cryptography for Securing IoT: Elliptic Curve and Isogeny-Based
Lecture Notes in Electrical EngineeringKalyan Banerjee +3 more
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Optimized Arithmetic Operations for Isogeny-Based Cryptography on Huff Curves
2020Up 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 +3 more
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Supersingular isogeny graphs in cryptography
, 2019 We describe recent applications of expander graphs in cryptography, particularly supersingular isogeny graphs. The security of these cryptographic constructions relies on the assumption that computing paths in these graphs is practically infeasible, even
Allan Lo +2 more
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On Fast Calculation of Addition Chains for Isogeny-Based Cryptography
2017Addition chain calculations play a critical role in determining the efficiency of cryptosystems based on isogenies on elliptic curves. However, finding a minimal length addition chain is not easy; a generalized version of the problem, in which one must find a chain that simultaneously forms each of a sequence of values, is NP-complete.
Brian Koziel +3 more
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Ultra-Fast Modular Multiplication Implementation for Isogeny-Based Post-Quantum Cryptography
2019 IEEE International Workshop on Signal Processing Systems (SiPS), 2019Supersingular isogeny key encapsulation (SIKE) protocol delivers promising public and secret key sizes over other post-quantum candidates. However, the huge computations form the bottleneck and limit its practical applications. The modular multiplication operation, which is one of the most computationally demanding operations in the fundamental ...
Jing Tian 0004 +2 more
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Hardware security of isogeny-based cryptography
Sécurisation matérielle de cryptographie post-quantique basée sur les isogénies entre courbes elliptiques En 1994, Shor a montré avec son algorithme de factorisation que les ordinateurs quantiques représentaient une menace pour la cryptographie asymétrique classique. Le National Institute of Standards and Technology (NIST) a alors lancéopenaire +1 more source
Advanced threshold signature schemes leveraging isogeny-based cryptography
Global Journal of Engineering and Technology AdvancesThis paper investigates the use of threshold signature schemes in isogeny-based cryptosystems. By leveraging the distinct features of isogeny graphs, we propose a protocol that offers high security and practical efficiency, making it ideal for distributed ledger technologies and secure multi-party computations.
null Mohammed El Baraka +1 more
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A post-quantum signcryption scheme using isogeny based cryptography
Journal of Information Security and Applications, 2022Kunal Dey +3 more
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