Results 71 to 80 of about 3,187 (201)
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
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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 $p ...
WANSU KIM
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Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
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Orientations and cycles in supersingular isogeny graphs [PDF]
, 2022 The paper concerns several theoretical aspects of oriented supersingular $\ell$-isogeny volcanoes and their relationship to closed walks in the supersingular $\ell$-isogeny graph.
Kristin E. Lauter +5 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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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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On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
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Cycles and Cuts in Supersingular L-Isogeny Graphs [PDF]
Supersingular elliptic curve isogeny graphs underlie isogeny-based cryptography. For isogenies of a single prime degree ℓ, their structure has been investigated graph-theoretically.
Arpin, Sarah +5 more
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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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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
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