Results 71 to 80 of about 3,064 (192)
An atlas of the Richelot isogeny graph [PDF]
, 2021 International audienceWe describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorphisms.
Enric Florit +3 more
core +2 more sources
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
Journal of Mathematical Cryptology, 2014 We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main technical idea in our scheme is that we transmit the images of torsion bases
De Feo Luca, Jao David, Plût Jérôme
doaj +1 more source
RAPOPORT–ZINK SPACES OF HODGE TYPE
Forum of Mathematics, Sigma, 2018 When $p>2$ , we construct a Hodge-type analogue of Rapoport–Zink spaces under the unramifiedness assumption, as formal schemes parametrizing ‘deformations’ (up to quasi-isogeny) of $p ...
WANSU KIM
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Towards Isogeny-Based Password-Authenticated Key Establishment
Journal of Mathematical Cryptology, 2020 Password authenticated key establishment (PAKE) is a cryptographic primitive that allows two parties who share a low-entropy secret (a password) to securely establish cryptographic keys in the absence of public key infrastructure.
Taraskin Oleg +3 more
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Heuristics on pairing-friendly elliptic curves
Journal of Mathematical Cryptology, 2012 We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime ...
Boxall John
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Erasure‐Coded Sharding and Proof‐of‐Storage for Practical Blockchain Trilemma Balance
IET Blockchain, Volume 6, Issue 1, January/December 2026.The proposed storage‐first blockchain framework resolves the blockchain trilemma by synergistically combining decentralised storage, zero‐knowledge proofs and sharded proof‐of‐storage consensus. Empirical evaluation demonstrates a peak throughput of 2800 transactions per second with low latency and strong Byzantine fault tolerance, while substantially ...
Saha Reno +3 more
wiley +1 more source
Quantum‐Resistant Security in Digital Twin Healthcare Systems
IET Wireless Sensor Systems, Volume 16, Issue 1, January/December 2026.Quantum‐safe architecture for secure healthcare data transmission integrating QKD, edge devices, and cloud‐based Digital Twin analytics. ABSTRACT The development of digital twin (DT) systems for healthcare presents several challenges, particularly in ensuring data protection and communication security in real‐time environments.
Ahmed K. Jameil, Hamed Al‐Raweshidy
wiley +1 more source
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
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The modular automorphisms of quotient modular curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
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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
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