Complete Analysis of Implementing Isogeny-Based Cryptography Using Huff Form of Elliptic Curves [PDF]
IEEE Access, 2021 In this paper, we present the analysis of Huff curves for implementing isogeny-based cryptography. In this regard, we first investigate the computational cost of the building blocks when compression functions are used for Huff curves.
Suhri Kim
exaly +6 more sources
Review of Chosen Isogeny-Based Cryptographic Schemes
Cryptography, 2022 Public-key cryptography provides security for digital systems and communication. Traditional cryptographic solutions are constantly improved, e.g., to suppress brute-force attacks.
Bartosz Drzazga, Łukasz Krzywiecki
exaly +4 more sources
Unconditional Foundations for Supersingular Isogeny-Based Cryptography [PDF]
Lecture Notes in Computer ScienceIn this paper, we prove that the supersingular isogeny problem (Isogeny), endomorphism ring problem (EndRing) and maximal order problem (MaxOrder) are equivalent under probabilistic polynomial time reductions, unconditionally. Isogeny-based cryptography is founded on the presumed hardness of these problems, and their interconnection is at the heart of ...
Benjamin Wesolowski
exaly +7 more sources
Verifiable Delay Function and Its Blockchain-Related Application: A Survey [PDF]
Sensors, 2022 The concept of verifiable delay functions has received attention from researchers since it was first proposed in 2018. The applications of verifiable delay are also widespread in blockchain research, such as: computational timestamping, public random ...
Qiang Wu +5 more
doaj +2 more sources
Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE [PDF]
Sensors, 2021 Postquantum cryptography for elevating security against attacks by quantum computers in the Internet of Everything (IoE) is still in its infancy. Most postquantum based cryptosystems have longer keys and signature sizes and require more computations that
Rinki Rani +7 more
doaj +2 more sources
Secure IoT in the Era of Quantum Computers—Where Are the Bottlenecks? [PDF]
Sensors, 2022 Recent progress in quantum computers severely endangers the security of widely used public-key cryptosystems and of all communication that relies on it.
Maximilian Schöffel +3 more
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A High-Performance and Scalable Hardware Architecture for Isogeny-Based Cryptography
IEEE Transactions on Computers, 2018 In this work, we present a high-performance and scalable architecture for isogeny-based cryptosystems. In particular, we use the architecture in a fast, constant-time FPGA implementation of the quantum-resistant supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol.
Brian Koziel +2 more
exaly +2 more sources
Optimization of isogeny computation algorithms for post-quantum cryptography
Scientific AfricanIsogeny-based cryptography has emerged as a strong candidate for post-quantum security due to the believed hardness of finding isogenies between supersingular elliptic curves.
Mohammed El Baraka
exaly +3 more sources
How to Compute an Isogeny on the Extended Jacobi Quartic Curves? [PDF]
International Journal of Electronics and Telecommunications, 2022 Computing isogenies between elliptic curves is a significant part of post-quantum cryptography with many practical applications (for example, in SIDH, SIKE, B-SIDH, or CSIDH algorithms).
Łukasz Dzierzkowski, Michał Wroński
doaj +1 more source
Practical Usage of Radical Isogenies for CSIDH
IEEE Access, 2023 Recently, a radical isogeny was proposed to boost commutative supersingular isogeny Diffie–Hellman (CSIDH) implementation. Radical isogenies reduce the generation of a kernel of a small prime order when implementing CSIDH.
Donghoe Heo, Suhri Kim, Seokhie Hong
doaj +1 more source