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scalar multiplication
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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DOI
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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DOI
Efficient and secure algorithms for GLV-based scalar multiplication and their implementation on GLV-GLS curves (extended version)
We propose efficient algorithms and formulas that improve the performance of side channel protected elliptic curve computations with …
Armando Faz-Hernández
,
Patrick Longa
,
Ana H. Sánchez
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DOI
Fast Implementation of Curve25519 Using AVX2
AVX2 is the newest instruction set on the Intel Haswell processor that provides simultaneous execution of operations over vectors of …
Armando Faz-Hernández
,
Julio López
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DOI
Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and Their Implementation on GLV-GLS Curves
We propose efficient algorithms and formulas that improve the performance of side-channel protected scalar multiplication exploiting …
Armando Faz-Hernández
,
Patrick Longa
,
Ana H. Sánchez
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DOI
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