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Curve25519: New Diffie-Hellman Speed Records
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On the Implementation of Elliptic Curve Cryptosystems
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The Poly1305-AES Message-Authentication Code
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Another Look at “Provable Security”. II
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Validation of Elliptic Curve Public Keys
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Cryptographic Hardware and Embedded Systems - CHES 2002
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Use of Elliptic Curves in Cryptography
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Cryptographic Hardware and Embedded Systems — CHES 2000
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Software Implementation of Elliptic Curve Cryptography over Binary Fields
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Advances in Cryptology — CRYPTO 2000
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Differential Fault Attacks on Elliptic Curve Cryptosystems
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Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms
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Self Protecting Pirates and Black-Box Traitor Tracing
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Topics in Cryptology — CT-RSA 2001
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Software Implementation of the NIST Elliptic Curves Over Prime Fields
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Random Walks Revisited: Extensions of Pollard’s Rho Algorithm for Computing Multiple Discrete Logarithms
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Advances in Cryptology — CRYPTO’ 99
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Advances in Cryptology — CRYPTO ’94
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More Flexible Exponentiation with Precomputation
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Towards the Equivalence of Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms
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Advances in Cryptology – ASIACRYPT 2021
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Advances in Cryptology – CRYPTO 2017
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Generic Efficient Arithmetic Algorithms for PAFFs (Processor Adequate Finite Fields) and Related Algebraic Structures
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Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
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Another Look at Provable Security
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Public-Key Cryptography – PKC 2017
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Cryptographic Hardware and Embedded Systems - CHES 2004: 6th International Workshop Cambridge, MA, USA, August 11-13, 2004, Proceedings
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The minimum number of edges in graphs with prescribed paths
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A key recovery attack on discrete log-based schemes using a prime order subgroup
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Parallel Collision Search with Cryptanalytic Applications
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Another Look at "Provable Security"
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Kangaroos, Monopoly and Discrete Logarithms
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Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography
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Computing discrete logarithms with the parallelized kangaroo method
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A comparison of different finite fields for elliptic curve cryptosystems
inferredcites →https://doi.org/10.1049/ip-ifs:20055018openalex-snapshot
Area–time efficient hardware architecture for factoring integers with the elliptic curve method
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866113-7openalex-snapshot
Speeding the Pollard and Elliptic Curve Methods of Factorization
inferredcites →https://doi.org/10.1109/sfcs.1976.21openalex-snapshot
On the evaluation of powers and related problems
inferredcites →https://doi.org/10.1109/tc.2004.43openalex-snapshot
Field inversion and point halving revisited
inferredcites →https://doi.org/10.1109/tit.1976.1055638openalex-snapshot
New directions in cryptography
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The Equivalence between the DHP and DLP for Elliptic Curves Used in Practical Applications
inferredcites →https://doi.org/10.1137/0209022openalex-snapshot
On the Evaluation of Powers and Monomials
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Handbook of Elliptic and Hyperelliptic Curve Cryptography
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Arithmetic of Special Curves
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Generic Algorithms for Computing Discrete Logarithms
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Transfer of Discrete Logarithms
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Arithmetic of Elliptic Curves
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Generic Algorithms for Computing Discrete Logarithms
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Square-root algorithms for the discrete logarithm problem (a survey)
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Shor's discrete logarithm quantum algorithm for elliptic curves
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inferred← citeshttps://doi.org/10.1007/978-3-319-31301-6_8openalex-snapshot
Sandy2x: New Curve25519 Speed Records
inferred← citeshttps://doi.org/10.1007/978-3-319-31517-1_4openalex-snapshot
A Fast and Compact FPGA Implementation of Elliptic Curve Cryptography Using Lambda Coordinates
inferred← citeshttps://doi.org/10.1007/978-3-319-31517-1_5openalex-snapshot
Three Dimensional Montgomery Ladder, Differential Point Tripling on Montgomery Curves and Point Quintupling on Weierstrass’ and Edwards Curves
inferred← citeshttps://doi.org/10.1007/978-3-319-40253-6_6openalex-snapshot
Energy-Efficient Elliptic Curve Cryptography for MSP430-Based Wireless Sensor Nodes
inferred← citeshttps://doi.org/10.1007/978-3-319-45741-3_17openalex-snapshot
Secure Code Updates for Mesh Networked Commodity Low-End Embedded Devices
inferred← citeshttps://doi.org/10.1007/978-3-319-47364-2_64openalex-snapshot
A Study on the Performance of Secure Elliptic Curves for Cryptographic Purposes
inferred← citeshttps://doi.org/10.1007/978-3-319-48799-1_58openalex-snapshot
Algorithms for Lightweight Key Exchange
inferred← citeshttps://doi.org/10.1007/978-3-319-48965-0_36openalex-snapshot
When Constant-Time Source Yields Variable-Time Binary: Exploiting Curve25519-donna Built with MSVC 2015
inferred← citeshttps://doi.org/10.1007/978-3-319-49445-6_5openalex-snapshot
Implementing Complete Formulas on Weierstrass Curves in Hardware
inferred← citeshttps://doi.org/10.1007/978-3-319-54669-8_10openalex-snapshot
A Compact and Exception-Free Ladder for All Short Weierstrass Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-319-58424-9_16openalex-snapshot
Secure Elliptic Curves in Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-319-61204-1_25openalex-snapshot
Bounds in Various Generalized Settings of the Discrete Logarithm Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-62024-4_13openalex-snapshot
$$\upmu $$ Proxy: A Hardware Relay for Anonymous and Secure Internet Access
inferred← citeshttps://doi.org/10.1007/978-3-319-66402-6_16openalex-snapshot
Verifying Constant-Time Implementations by Abstract Interpretation
inferred← citeshttps://doi.org/10.1007/978-3-319-66787-4_17openalex-snapshot
Making Password Authenticated Key Exchange Suitable for Resource-Constrained Industrial Control Devices
inferred← citeshttps://doi.org/10.1007/978-3-319-67807-8openalex-snapshot
Mobile, Secure, and Programmable Networking
inferred← citeshttps://doi.org/10.1007/978-3-319-67807-8_1openalex-snapshot
Efficient Implementation of Pedersen Commitments Using Twisted Edwards Curves
inferred← citeshttps://doi.org/10.1007/978-3-319-69453-5_25openalex-snapshot
Fast, Uniform Scalar Multiplication for Genus 2 Jacobians with Fast Kummers
inferred← citeshttps://doi.org/10.1007/978-3-319-69453-5_27openalex-snapshot
Four$$\mathbb {Q}$$NEON: Faster Elliptic Curve Scalar Multiplications on ARM Processors
inferred← citeshttps://doi.org/10.1007/978-3-319-70694-8_2openalex-snapshot
An Existential Unforgeable Signature Scheme Based on Multivariate Quadratic Equations
inferred← citeshttps://doi.org/10.1007/978-3-319-70697-9_1openalex-snapshot
Kummer for Genus One over Prime Order Fields
inferred← citeshttps://doi.org/10.1007/978-3-319-70697-9_10openalex-snapshot
qDSA: Small and Secure Digital Signatures with Curve-Based Diffie–Hellman Key Pairs
inferred← citeshttps://doi.org/10.1007/978-3-319-71501-8_10openalex-snapshot
A Secure and Efficient Implementation of the Quotient Digital Signature Algorithm (qDSA)
inferred← citeshttps://doi.org/10.1007/978-3-319-72565-9_9openalex-snapshot
How to (Pre-)Compute a Ladder
inferred← citeshttps://doi.org/10.1007/978-3-319-75650-9_6openalex-snapshot
A Roadmap for High Assurance Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-319-76953-0_1openalex-snapshot
Breaking Ed25519 in WolfSSL
inferred← citeshttps://doi.org/10.1007/978-3-319-76953-0_18openalex-snapshot
Differential Attacks on Deterministic Signatures
inferred← citeshttps://doi.org/10.1007/978-3-319-78375-8_14openalex-snapshot
The Discrete-Logarithm Problem with Preprocessing
inferred← citeshttps://doi.org/10.1007/978-3-319-78556-1_14openalex-snapshot
On the Computational Complexity of ECDLP for Elliptic Curves in Various Forms Using Index Calculus
inferred← citeshttps://doi.org/10.1007/978-3-319-78813-5_46openalex-snapshot
A-Tor: Accountable Anonymity in Tor
inferred← citeshttps://doi.org/10.1007/978-3-319-79063-3_11openalex-snapshot
Computing Isogenies Between Montgomery Curves Using the Action of (0, 0)
inferred← citeshttps://doi.org/10.1007/978-3-319-89339-6_17openalex-snapshot
Practical Fault Injection on Deterministic Signatures: The Case of EdDSA
inferred← citeshttps://doi.org/10.1007/978-3-319-93387-0_1openalex-snapshot
A Cryptographic Analysis of the WireGuard Protocol
inferred← citeshttps://doi.org/10.1007/978-3-319-93387-0_31openalex-snapshot
KRB-CCN: Lightweight Authentication and Access Control for Private Content-Centric Networks
inferred← citeshttps://doi.org/10.1007/978-3-319-93387-0_5openalex-snapshot
Drive-By Key-Extraction Cache Attacks from Portable Code
inferred← citeshttps://doi.org/10.1007/978-3-319-98989-1_13openalex-snapshot
Breaking Message Integrity of an End-to-End Encryption Scheme of LINE
inferred← citeshttps://doi.org/10.1007/978-3-540-68914-0_15openalex-snapshot
New Differential-Algebraic Attacks and Reparametrization of Rainbow
inferred← citeshttps://doi.org/10.1007/978-3-540-76900-2_3openalex-snapshot
Faster Addition and Doubling on Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-77272-9_22openalex-snapshot
Toward Acceleration of RSA Using 3D Graphics Hardware
inferred← citeshttps://doi.org/10.1007/978-3-642-01001-9_30openalex-snapshot
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-02384-2_23openalex-snapshot
Fast Elliptic-Curve Cryptography on the Cell Broadband Engine
inferred← citeshttps://doi.org/10.1007/978-3-642-04138-9_19openalex-snapshot
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-13797-6_14openalex-snapshot
Delaying Mismatched Field Multiplications in Pairing Computations
inferred← citeshttps://doi.org/10.1007/978-3-642-13797-6_2openalex-snapshot
High-Performance Modular Multiplication on the Cell Processor
inferred← citeshttps://doi.org/10.1007/978-3-642-14577-3_30openalex-snapshot
Using Sphinx to Improve Onion Routing Circuit Construction
inferred← citeshttps://doi.org/10.1007/978-3-642-14712-8_7openalex-snapshot
New Software Speed Records for Cryptographic Pairings
inferred← citeshttps://doi.org/10.1007/978-3-642-19379-8_8openalex-snapshot
On the Correct Use of the Negation Map in the Pollard rho Method
inferred← citeshttps://doi.org/10.1007/978-3-642-22263-4_10openalex-snapshot
Privacy-Friendly Aggregation for the Smart-Grid
inferred← citeshttps://doi.org/10.1007/978-3-642-23951-9_9openalex-snapshot
High-Speed High-Security Signatures
inferred← citeshttps://doi.org/10.1007/978-3-642-29889-9_4openalex-snapshot
Fast Elliptic Curve Cryptography in OpenSSL
inferred← citeshttps://doi.org/10.1007/978-3-642-30955-7_17openalex-snapshot
Efficient Java Implementation of Elliptic Curve Cryptography for J2ME-Enabled Mobile Devices
inferred← citeshttps://doi.org/10.1007/978-3-642-31662-3_9openalex-snapshot
Software Implementation of Modular Exponentiation, Using Advanced Vector Instructions Architectures
inferred← citeshttps://doi.org/10.1007/978-3-642-32928-9_17openalex-snapshot
On the Strength Comparison of the ECDLP and the IFP
inferred← citeshttps://doi.org/10.1007/978-3-642-33481-8_3openalex-snapshot
Complete Atomic Blocks for Elliptic Curves in Jacobian Coordinates over Prime Fields
inferred← citeshttps://doi.org/10.1007/978-3-642-33481-8_9openalex-snapshot
The Security Impact of a New Cryptographic Library
inferred← citeshttps://doi.org/10.1007/978-3-642-34931-7_26openalex-snapshot
Faster Batch Forgery Identification
inferred← citeshttps://doi.org/10.1007/978-3-642-34961-4_43openalex-snapshot
Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication
inferred← citeshttps://doi.org/10.1007/978-3-642-38348-9_12openalex-snapshot
Fast Cryptography in Genus 2
inferred← citeshttps://doi.org/10.1007/978-3-642-38553-7_9openalex-snapshot
NaCl on 8-Bit AVR Microcontrollers
inferred← citeshttps://doi.org/10.1007/978-3-642-40349-1_18openalex-snapshot
Lambda Coordinates for Binary Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-40349-1_19openalex-snapshot
High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition
inferred← citeshttps://doi.org/10.1007/978-3-642-54631-0_12openalex-snapshot
Elliptic and Hyperelliptic Curves: A Practical Security Analysis
inferred← citeshttps://doi.org/10.1007/978-3-642-55220-5_11openalex-snapshot
Faster Compact Diffie–Hellman: Endomorphisms on the x-line
inferred← citeshttps://doi.org/10.1007/978-3-658-21384-8_8openalex-snapshot
Privacy and Data Protection in the Domain Name System
inferred← citeshttps://doi.org/10.1007/978-3-662-44709-3_17openalex-snapshot
Efficient Pairings and ECC for Embedded Systems
inferred← citeshttps://doi.org/10.1007/978-3-662-44709-3_18openalex-snapshot
Curve41417: Karatsuba Revisited
inferred← citeshttps://doi.org/10.1007/978-3-662-45472-5_10openalex-snapshot
Elligator Squared: Uniform Points on Elliptic Curves of Prime Order as Uniform Random Strings
inferred← citeshttps://doi.org/10.1007/978-3-662-45472-5_11openalex-snapshot
Elliptic Curve Cryptography in Practice
inferred← citeshttps://doi.org/10.1007/978-3-662-45611-8_17openalex-snapshot
Kummer Strikes Back: New DH Speed Records
inferred← citeshttps://doi.org/10.1007/978-3-662-46447-2_24openalex-snapshot
Faster ECC over $$\mathbb {F}_{2^{521}-1}$$
inferred← citeshttps://doi.org/10.1007/978-3-662-47989-6_34openalex-snapshot
Decaf: Eliminating Cofactors Through Point Compression
inferred← citeshttps://doi.org/10.1007/978-3-662-48000-7_6openalex-snapshot
Implicit Zero-Knowledge Arguments and Applications to the Malicious Setting
inferred← citeshttps://doi.org/10.1007/978-3-662-48324-4_33openalex-snapshot
Efficient Ring-LWE Encryption on 8-Bit AVR Processors
inferred← citeshttps://doi.org/10.1007/978-3-662-48324-4_5openalex-snapshot
NaCl’s Crypto_box in Hardware
inferred← citeshttps://doi.org/10.1007/978-3-662-48797-6_10openalex-snapshot
Four $$\mathbb {Q}$$ : Four-Dimensional Decompositions on a $$\mathbb {Q}$$ -curve over the Mersenne Prime
inferred← citeshttps://doi.org/10.1007/978-3-662-49890-3_16openalex-snapshot
Complete Addition Formulas for Prime Order Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-662-53018-4_21openalex-snapshot
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
inferred← citeshttps://doi.org/10.1007/978-3-662-53140-2_25openalex-snapshot
Four$$\mathbb {Q}$$ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields
inferred← citeshttps://doi.org/10.1007/978-981-15-2043-3_3openalex-snapshot
Distributed Secure File Storage System Using Cryptography
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