Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies

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Hard Homogeneous Spaces

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Towards Encrypting Industrial Data on Public Distributed Networks

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New Hybrid Method for Isogeny-Based Cryptosystems Using Edwards Curves

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On Collisions Related to an Ideal Class of Order 3 in CSIDH

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How Not to Create an Isogeny-Based PAKE

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Towards Isogeny-Based Password-Authenticated Key Establishment

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Verifiable Random Function from the Deuring Correspondence and Higher Dimensional Isogenies

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Failing to Hash Into Supersingular Isogeny Graphs

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Lightweight Authentication Scheme Based on ECC for IoT

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NEON SIKE: Supersingular Isogeny Key Encapsulation on ARMv7

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Ultra-Fast Modular Multiplication Implementation for Isogeny-Based Post-Quantum Cryptography

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The Cost to Break SIKE: A Comparative Hardware-Based Analysis with AES and SHA-3

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Finding Collisions in a Quantum World: Quantum Black-Box Separation of Collision-Resistance and One-Wayness

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Faster modular arithmetic for isogeny-based crypto on embedded devices

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Succinct blind Quantum computation using a random oracle

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CsiIBS: A post-quantum identity-based signature scheme based on isogenies

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Post-Quantum Security Models for Authenticated Encryption

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The Hecke Stability Method and Ethereal Forms

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Isogeny Problems with Level Structure

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Capybara and Tsubaki: Verifiable Random Functions from Group Actions and Isogenies

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Fast Arithmetic Modulo 2^x p^y ± 1

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

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An adaptive attack on 2-SIDH

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Compressed SIKE Round 3 on ARM Cortex-M4

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Cryptographic Smooth Neighbors

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Paradigm shift from classical cryptography to quantum cryptography

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Post-Quantum Variants of ISO/IEC Standards

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A Constant-Time Algorithm of CSIDH Keeping Two Points

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Fast Modular Multipliers for Supersingular Isogeny-Based Post-Quantum Cryptography

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Key Exchange and Authenticated Key Exchange with Reusable Keys Based on RLWE Assumption.Preprint

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Quantum encryption in phase space with displacement operators

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Oblivious Transfer Based on NTRUEncrypt

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Indifferentiability for Public Key Cryptosystems

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An Alternative Approach for SIDH Arithmetic

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Post-Quantum Signal Key Agreement from SIDH

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Hidden Stabilizers, the Isogeny to Endomorphism Ring Problem and the Cryptanalysis of pSIDH

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On Fast Calculation of Addition Chains for Isogeny-Based Cryptography

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On division polynomial PIT and supersingularity

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3- AND 5-ISOGENIES OF SUPERSINGULAR EDWARDS CURVES

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SimS: A Simplification of SiGamal

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Karatsuba-based square-root Vélu’s formulas applied to two isogeny-based protocols

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Quantum Safe Cryptography

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Isoga: An Isogeny-Based Quantum-Resist Searchable Encryption Scheme Against Keyword Guessing Attacks

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Efficient Post-Quantum Undeniable Signature on 64-Bit ARM

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Proving knowledge of isogenies: a survey

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Efficient Algorithms for Large Prime Characteristic Fields and Their Application to Bilinear Pairings

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Cyclic Isogenies for Abelian Varieties with Real Multiplication

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Password-Based Authenticated Key Exchange from Standard Isogeny Assumptions

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Radical Isogenies on Montgomery Curves

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Fast and Error-Free Negacyclic Integer Convolution Using Extended Fourier Transform

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SIKE on GPU: Accelerating Supersingular Isogeny-Based Key Encapsulation Mechanism on Graphic Processing Units

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Safe-Error Attacks on SIKE and CSIDH

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SIKE Channels

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Design and Optimization of Modular Multiplication for SIDH

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Optimized Algorithms and Architectures for Montgomery Multiplication for Post-quantum Cryptography

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FPGA Implementation of Metaheuristic Optimization Algorithm

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An Exposure Model for Supersingular Isogeny Diffie-Hellman Key Exchange

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Authenticated logarithmic-order supersingular isogeny group key exchange

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Efficient Isogeny Proofs Using Generic Techniques

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Video-Based Cryptanalysis: Extracting Cryptographic Keys from Video Footage of a Device’s Power LED Captured by Standard Video Cameras

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Ideal-to-Isogeny Algorithm Using 2-Dimensional Isogenies and Its Application to SQIsign

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Optimized Arithmetic Operations for Isogeny-Based Cryptography on Huff Curves

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Towards Post-Quantum Key-Updatable Public-Key Encryption via Supersingular Isogenies

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Efficient Computation of $$(3^n,3^n)$$-Isogenies

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Computing a Sequence of 2-Isogenies on Supersingular Elliptic Curves

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Towards Practical Deployment of Post-quantum Cryptography on Constrained Platforms and Hardware-Accelerated Platforms

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Memory Efficient Implementation of Modular Multiplication for 32-bit ARM Cortex-M4

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A framework for reducing the overhead of the quantum oracle for use with Grover’s algorithm with applications to cryptanalysis of SIKE

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Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph

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A Faster Software Implementation of SQIsign

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A survey on isogeny-based cryptographic protocols

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Algebraic generalization of Diffie–Hellman key exchange

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PMAKE: Physical Unclonable Function-based Mutual Authentication Key Exchange Scheme for Digital Aeronautical Communications

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SHealS and HealS: Isogeny-Based PKEs from a Key Validation Method for SIDH

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Post-quantum Anonymous One-Sided Authenticated Key Exchange Without Random Oracles

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Finite Field Arithmetic Using AVX-512 For Isogeny-Based Cryptography

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Simplified isogeny formulas on twisted Jacobi quartic curves

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A Framework for Universally Composable Oblivious Transfer from One-Round Key-Exchange

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Efficient Software Implementation of the SIKE Protocol Using a New Data Representation

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SÉTA: Supersingular Encryption from Torsion Attacks.Preprint

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Future Digital Identity Management With Quantum Secure Blockchain

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Computational quantum key distribution (CQKD) on decentralized ledger and blockchain

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Simple Two-Message OT in the Explicit Isogeny Model

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How to Construct Quantum FHE, Generically

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HPQKE: Hybrid Post-Quantum Key Exchange Protocol for SSH Transport Layer From CSIDH

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L1 -norm ball for CSIDH: Optimal strategy for choosing the secret key space

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Semi-commutative Masking: A Framework for Isogeny-Based Protocols, with an Application to Fully Secure Two-Round Isogeny-Based OT

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Non-Invertible Public Key Certificates

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Extended supersingular isogeny Diffie–Hellman key exchange protocol: Revenge of the SIDH

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High-Performance Systolic Array Montgomery Multiplier for SIKE

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Optimization of the multivariate polynomial public key for quantum safe digital signature

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Homomorphic polynomial public key encapsulation over two hidden rings for quantum-safe key encapsulation

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Finding orientations of supersingular elliptic curves and quaternion orders

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Energy Efficiency Analysis of Elliptic Curve Based Cryptosystems

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Stronger and Faster Side-Channel Protections for CSIDH

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On Adaptive Attacks Against Jao-Urbanik’s Isogeny-Based Protocol

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A survey of hardware implementations of elliptic curve cryptographic systems

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SQIsign2D$$^2$$: New SQIsign2D Variant by Leveraging Power Smooth Isogenies in Dimension One

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Work-in-Progress: Security of Public-Key Schemes in the Quantum Computing Era – A Literature Review

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A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves

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On the Security of Supersingular Isogeny Cryptosystems.Preprint

Galbraith⋆, S. D., Petit, C., Shani, B., & Ti, Y. B. (2016) · IACR Cryptology ePrint Archive

Trade-off between Performance and Security for Supersingular Isogeny-Based Cryptosystems

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