Results 61 to 70 of about 22,173,063 (167)
Optimized SeaSign for Enhanced Efficiency
IEEE AccessThis 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
On extensions of the Jacobson–Morozov theorem to even characteristic
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract Let G$G$ be a simple algebraic group over an algebraically closed field k$\mathbb {k}$ of characteristic 2. We consider analogues of the Jacobson–Morozov theorem in this setting. More precisely, we classify those nilpotent elements with a simple 3‐dimensional Lie overalgebra in g:=Lie(G)$\mathfrak {g}:=\operatorname{Lie}(G)$ and also those ...
David I. Stewart, Adam R. Thomas
wiley +1 more source
Efficient Commutative PQC Algorithms on Isogenies of Edwards Curves
CryptographyThe article presents the author’s works in the field of modifications and modeling of the Post-Quantum Cryptography (PQC) Commutative Supersingular Isogeny Diffie-Hellman (CSIDH) algorithm on non-cyclic supersingular Edwards curves and its predecessor ...
Anatoly Bessalov +2 more
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Efficiency of SIDH-based signatures (yes, SIDH)
Journal of Mathematical CryptologyIn 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 +2 more
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Paving the Way for SQIsign: Toward Efficient Deployment on 32-bit Embedded Devices
MathematicsThe 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
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On the Parallelization of Square-Root Vélu’s Formulas
Mathematical and Computational ApplicationsA 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
CLEI Electronic JournalCryptography 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
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Let us walk on the 3-isogeny graph: efficient, fast, and simple
Transactions on Cryptographic Hardware and Embedded SystemsConstructing 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
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Dual Isogenies and Their Application to Public-Key Compression for Isogeny-Based Cryptography
, 2019 The isogeny-based protocols SIDH and SIKE have received much attention for being post-quantum key agreement candidates that retain relatively small keys. A recent line of work has proposed and further improved compression of public keys, leading to the inclusion of public-key compression in the SIKE proposal for Round 2 of the NIST Post-Quantum ...
Naehrig, M., Renes, J.
openaire +3 more sources
Isogeny Graphs and Cryptographic Applications [PDF]
, 2023 openIn this thesis, we aim to develop the theory of elliptic curves in order to understand the shape of isogeny graphs. This kind of graphs are used as a new cryptographic primitive to resist against quantum key-recovery attacks. We also prove that these
OSTUZZI, MASSIMO
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