Results 81 to 90 of about 3,187 (201)
POKEx: Performance Analysis of POKÉ-Key Exchange and SIDH-Variants
IEEE AccessIn this paper, we present a comparative performance analysis of the POKÉ-based key exchange and SIDH variants. SIDH gained attention for its small key size and efficient performance, and has been selected as an alternate candidate in NIST PQC ...
Hyeonhak Kim, Suhri Kim
doaj +1 more source
A Signal‐Matching Approach to RLWE‐Based PSI: Achieving Optimal Online Efficiency in 3 Rounds
IET Information Security, Volume 2026, Issue 1, 2026.In this study, we propose a novel post‐quantum private set intersection (PSI) protocol based on the ring learning with errors (RLWE) assumption. Different from existing PSI protocols based on post‐quantum oblivious pseudorandom functions (EUROCRYPT’25) and fully homomorphic encryption (FHE) (CCS’21), our construction follows the Diffie–Hellman (DH ...
Yue Qin +5 more
wiley +1 more source
A subexponential-time, polynomial quantum space algorithm for inverting the CM group action
Journal of Mathematical Cryptology, 2020 We present a quantum algorithm which computes group action inverses of the complex multiplication group action on isogenous ordinary elliptic curves, using subexponential time, but only polynomial quantum space.
Jao David +3 more
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A Comparison of Security and its Performance for Key Agreements in Post-Quantum Cryptography
IEEE Access, 2020 Nowadays, we are surrounded by devices collecting and transmitting private information. Currently, the two main mathematical problems that guarantee security on the Internet are the Integer Factorization Problem and the Discrete Logarithm Problem ...
Fabio Borges +2 more
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Algebraic Geometry, 2016 We prove by means of the study of the infinitesimal variation of Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem that the Jacobian variety of a generic element of a $k$ codimensional subvariety of $\mathcal M_g$ is not isogenous to a distinct Jacobian if $g>3k+4$.
Marcucci, Valeria +2 more
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Comprehensive Analysis and Implementation of Isogeny-Based Hash Functions
IEEE AccessThis paper analyzes the security and performance of the isogeny-based hash functions. The isogeny-based hash function was first proposed by Charles, Goren, and Lauter, and is referred to as the CGL hash function.
Donghoe Heo +4 more
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Mod p points on shimura varieties of parahoric level
Forum of Mathematics, PiWe study the $\overline {\mathbb {F}}_{p}$ -points of the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isogeny class contains the reduction of a CM point,
Pol van Hoften
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Isogeny graphs and Isogeny Volcanoes
, 2020 \textit{Isogeny graphs} are a type of graphs, where the vertices represent elliptic curves and the edges represent isogenies. I will examine some of the structures of these graphs in this thesis. It turns out that the majority of the components of such a graph will be \textit{volcanoes}, see \cref{defn:pvolcano}.
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2-adic images of CM isogeny-torsion graphs
, 2023 Let $\mathcal{E}$ be a $\mathbb{Q}$-isogeny class of elliptic curves defined over $\mathbb{Q}$. The isogeny graph associated to $\mathcal{E}$ is a graph which has a vertex for each element of $\mathcal{E}$ and an edge for each $\mathbb{Q}$-isogeny of ...
Chiloyan, Garen
core
Comptes Rendus. MathématiqueIn this paper, we apply Tsuzuki’s main theorem in [12] to establish a criterion for when two abelian varieties over a function field K of characteristic p are ...
Chiarellotto, Bruno, Trihan, Fabien
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