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Fast computation of higher dimensional isogenies for cryptographic applications
Pierrick Dartois
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KLaPoTi: An asymptotically efficient isogeny group action from 2-dimensional isogenies
IACR Communications in CryptologyWe construct and implement an efficient post-quantum commutative cryptographic group action based on combining the SCALLOP framework for group actions from isogenies of oriented elliptic curves on one hand with the recent Clapoti method for polynomial ...
Lorenz Panny +2 more
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Supersingular Isogeny Diffie-Hellman Key Exchange on 64-Bit ARM
IEEE Transactions on Dependable and Secure Computing, 2019We present an efficient implementation of the supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol on 64-bit ARMv8 processors for 125- and 160-bit post-quantum security levels.
Amir Jalali +2 more
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Verifiable Isogeny Walks: Towards an Isogeny-based Postquantum VDF
IACR Cryptology ePrint Archive, 2021Jorge Chávez-Saab +2 more
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Threshold Schemes from Isogeny Assumptions
Lecture Notes in Computer Science, 2020Luca De Feo
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On the zeta functions of supersingular isogeny graphs and modular curves
Archiv der Mathematik, 2023Let p and q be distinct prime numbers with q≡1(mod12)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Antonio Lei, Katharina Müller
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Isoga: An Isogeny-Based Quantum-Resist Searchable Encryption Scheme Against Keyword Guessing Attacks
IEEE Systems Journal, 2023Driven by cloud computing technologies, public-key encryption with keyword search (PEKS) is becoming a common practice from aspects of the Industrial Internet of Things, smart healthcare, vehicular social networks, and so on.
Qing Fan +4 more
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2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ
Experimental Mathematics, 2023Let E be a Q-isogeny class of elliptic curves defined over Q without CM. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in E and an edge for each Q-isogeny of prime degree that maps one elliptic curve in E to ...
Garen Chiloyan
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Forum Mathematicum, 2002
Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
openaire +2 more sources