Isogeny-based cryptography - Open Access .click

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Cryptography: Mathematical Advancements on Cyber Security [PDF]

, 2019
The origin of cryptography, the study of encoding and decoding messages, dates back to ancient times around 1900 BC. The ancient Egyptians enlisted the use of basic encryption techniques to conceal personal information.
Bower, Kristin
core +1 more source

Efficiency of SIDH-based signatures (yes, SIDH)

Journal of Mathematical Cryptology
In this note, we assess the efficiency of a supersingular isogeny Diffie-Hellman (SIDH)-based digital signature built on a weaker variant of a recent identification protocol proposed by Basso et al.
Ghantous Wissam, Pintore Federico, Veroni Mattia +2 more
doaj +1 more source

Optimized SeaSign for Enhanced Efficiency

IEEE Access
This paper optimized SeaSign – an isogeny-based digital signature algorithm that combines the class group actions of CSIDH with the notion of Fiat-Shamir with abort.
Suhri Kim
doaj +1 more source

Paving the Way for SQIsign: Toward Efficient Deployment on 32-bit Embedded Devices

Mathematics
The threat of quantum computing has spurred research into post-quantum cryptography. SQIsign, a candidate submitted to the standardization process of the National Institute of Standards and Technology, is emerging as a promising isogeny-based signature ...
Yue Hu, Shiyu Shen, Hao Yang, Weize Wang
doaj +1 more source

On the Parallelization of Square-Root Vélu’s Formulas

Mathematical and Computational Applications
A primary challenge in isogeny-based cryptography lies in the substantial computational cost associated to computing and evaluating prime-degree isogenies.
Jorge Chávez-Saab +2 more
doaj +1 more source

High-Performance Elliptic Curve Cryptography: A SIMD Approach to Modern Curves (Extended Thesis Summary)

CLEI Electronic Journal
Cryptography based on elliptic curves is endowed with efficient methods for public-key cryptography. Recent research has shown the superiority of the Montgomery and Edwards curves over the Weierstrass curves as they require fewer arithmetic operations ...
Armando Faz Hernandez, Julio López
doaj +1 more source

Let us walk on the 3-isogeny graph: efficient, fast, and simple

Transactions on Cryptographic Hardware and Embedded Systems
Constructing and implementing isogeny-based cryptographic primitives is an active research. In particular, performing length-n isogenies walks over quadratic field extensions of Fp plays an exciting role in some constructions, including Hash functions ...
Jesús-Javier Chi-Domínguez +2 more
doaj +1 more source

Practical isogeny-based cryptography [PDF]

, 2021
Michaël Meyer
openalex +1 more source

Effective Pairings in Isogeny-Based Cryptography [PDF]

, 2023
Krijn Reijnders
openalex +1 more source

Arithmetic on generalized Hessian curves using compression function and its applications to the isogeny-based cryptography

, 2022
Michał Wroński, Tomasz Kijko
openalex +1 more source

cryptography
mathematics
isogeny

computer science
elliptic curve
post-quantum cryptography

pure mathematics
computer security
algorithm