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Isogeny-based Quantum-resistant Undeniable Blind Signature Scheme.

M. Seshadri Srinath, Venkatachalam Chandrasekaran

International journal of network securityJan 1, 201611 citations

Isogeny-Based Quantum-Resistant Undeniable Signatures

David Jao, Vladimir Soukharev

Lecture notes in computer scienceJan 1, 201452 citations

A survey on isogeny-based cryptographic protocols

Sweta Mishra, Bhaskar Mondal, Rishi Kumar Jha

Wireless NetworksFeb 25, 20258 citations

Strengthening SIDH Protocol Security: Mitigating the Castryck-Decru Attack with Structural and Algorithmic Enhancements

Mohammed El Baraka, Siham Ezzouak

Abstract The Supersingular Isogeny Diffie-Hellman (SIDH) protocol is a leading contender for post-quantum cryptography. However, recent advances, specifically the Castryck-Decru attack, have exposed significant security flaws, primarily related to the predictability of torsion points and vulnerabilities in curve parameters. This study proposes and evaluates enhancements to the SIDH protocol, including increasing the size of torsion subgroups, introducing randomized isogeny generation , and employing advanced obfuscation techniques. Experimental results demonstrate that these modifications substantially improve SIDH’s security, with a manageable increase in computational overhead, positioning SIDH as a more resilient candidate for post-quantum cryptographic applications.Abstract The Supersingular Isogeny Diffie-Hellman (SIDH) protocol is a leading contender for post-quantum cryptography. However, recent advances, specifically the Castryck-Decru attack, have exposed significant security flaws, primarily related to the predictability of torsion points and vulnerabilities in curve parameters. This study proposes and evaluates enhancements to the SIDH protocol, including increasing the size of torsion subgroups, introducing randomized isogeny generation , and employing advanced obfuscation techniques. Experimental results demonstrate that these modifications substantially improve SIDH’s security, with a manageable increase in computational overhead, positioning SIDH as a more resilient candidate for post-quantum cryptographic applications.

Aug 30, 20240 citations

Isogeny-Based Cryptographic Protocols with Advanced Functionalities

Ling Qin

Advances in quantum computing have heightened concerns about information security in the post-quantum era. While traditional cryptographic schemes rooted in number- theoretic assumptions (e.g., integer factorization, elliptic curve discrete logarithm, and discrete logarithm problems) remain foundational to modern security infrastructures, their vulnerabilities in quantum computing environments have become apparent. To address this, researchers have shifted focus toward quantum-resistant mathematical problems. Among these, isogeny-based cryptography has emerged as a strong candi- date within the five primary post-quantum cryptographic approaches, garnering sig- nificant academic interest. Recent progress in isogeny-based cryptographic schemes includes SIDH (though recent cryptanalysis by Castryck and Decru has compromised its security), CSIDH, and SQISign. Despite progress, the inherent structural characteristics of isogenies impose limitations on design flexibility compared to other post-quantum alternatives. The goal of the thesis is to develop isogeny-based cryptographic protocols with ad- vanced functionalities. We develop isogeny-based blind signatures based on techniques from CSIDH, CSI-FiSh, and other works. We also develop ring signature schemes us- ing SQISign. Finally, we develop a verifiable encryption scheme (based on CSIDH) and bit commitment scheme (based on the Charles–Goren–Lauter isogeny-based hash function). For both schemes, we give ways to prove to a verifier that the encrypted/ committed bits satisfy a given Boolean equation.Advances in quantum computing have heightened concerns about information security in the post-quantum era. While traditional cryptographic schemes rooted in number- theoretic assumptions (e.g., integer factorization, elliptic curve discrete logarithm, and discrete logarithm problems) remain foundational to modern security infrastructures, their vulnerabilities in quantum computing environments have become apparent. To address this, researchers have shifted focus toward quantum-resistant mathematical problems. Among these, isogeny-based cryptography has emerged as a strong candi- date within the five primary post-quantum cryptographic approaches, garnering sig- nificant academic interest. Recent progress in isogeny-based cryptographic schemes includes SIDH (though recent cryptanalysis by Castryck and Decru has compromised its security), CSIDH, and SQISign. Despite progress, the inherent structural characteristics of isogenies impose limitations on design flexibility compared to other post-quantum alternatives. The goal of the thesis is to develop isogeny-based cryptographic protocols with ad- vanced functionalities. We develop isogeny-based blind signatures based on techniques from CSIDH, CSI-FiSh, and other works. We also develop ring signature schemes us- ing SQISign. Finally, we develop a verifiable encryption scheme (based on CSIDH) and bit commitment scheme (based on the Charles–Goren–Lauter isogeny-based hash function). For both schemes, we give ways to prove to a verifier that the encrypted/ committed bits satisfy a given Boolean equation.

Jan 1, 20250 citations

A Post-quantum Digital Signature Scheme Based on Supersingular Isogenies

Youngho Yoo, Reza Azarderakhsh, Amir Jalali +2 more

Lecture notes in computer scienceJan 1, 201798 citations

Survey of isogeny-based signature schemes resistant to Castryck–Decru attack

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