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elliptic curves
Hashing to Elliptic Curves
This document specifies a number of algorithms for encoding or hashing an arbitrary string to a point on an elliptic curve. This …
Armando Faz-Hernández
,
Sam Scott
,
Nick Sullivan
,
Riad S. Wahby
,
Christopher A. Wood
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High-Performance Elliptic Curve Cryptography: A SIMD Approach to Modern Curves
Cryptography based on elliptic curves is endowed with efficient methods for public-key cryptography. Recent research has shown the …
Armando Faz-Hernández
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ZKAttest: Ring and Group Signatures for existing ECDSA keys
Cryptographic keys are increasingly stored in dedicated hardware or behind software interfaces. Doing so limits access, such as …
Watson Ladd, Armando Faz-Hernández
,
Deepak Maram
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Generation of Elliptic Curve Points in Tandem
A hash to curve function H, mapping bit strings to points on an elliptic curve, is often required in cryptographic schemes based on …
Armando Faz-Hernández
,
Julio López
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High-performance Implementation of Elliptic Curve Cryptography Using Vector Instructions
Elliptic curve cryptosystems are considered an efficient alternative to conventional systems such as DSA and RSA. Recently, Montgomery …
Armando Faz-Hernández
,
Julio López
,
Ricardo Dahab
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A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol
Since its introduction by Jao and De Feo in 2011, the supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol has positioned …
Armando Faz-Hernández
,
Julio López
,
Eduardo Ochoa-Jiménez
,
Francisco Rodríguez-Henríquez
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How to (Pre-)Compute a Ladder: Improving the Performance of X25519 and X448
In the RFC7748 memorandum, the Internet Research Task Force specified a Montgomery-ladder scalar multiplication function based on two …
Thomaz Oliveira
,
Julio López
,
Hüseyin Hişil
,
Armando Faz-Hernández
,
Francisco Rodríguez-Henríquez
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A Secure and Efficient Implementation of the Quotient Digital Signature Algorithm (qDSA)
Digital signatures provide a means to publicly authenticate messages sent over an insecure channel. Recently, the Quotient Digital …
Armando Faz-Hernández
,
Hayato Fujii
,
Diego F. Aranha
,
Julio López
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Speeding up Elliptic Curve Cryptography on the P-384 Curve
The P-384 is one of the standardized elliptic curves by ANSI and NIST. This curve provides a 192-bit security level and is used in the …
Armando Faz-Hernández
,
Julio López
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Implementação Eficiente e Segura de Algoritmos Criptográficos
A implementação segura de um algoritmo criptográfico não é uma tarefa trivial nem mesmo para os programadores mais experientes, pois …
Armando Faz-Hernández
,
Roberto Cabral
,
Diego F. Aranha
,
Julio López
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