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Isogenies and cryptography

open access: yes
Cryptography is an essential tool for enabling privacy of electronic communication. However, many of the cryptographic protocols we use nowadays, would be insecure after the development of large-scale quantum computers. Therefore, the cryptographic community is preparing new protocols to replace the would-be broken ones. Protocols based on lattices are
openaire   +3 more sources

Chromosome-level genomes of two Bracteacoccaceae highlight adaptations to biocrusts. [PDF]

open access: yesNat Commun
Liang H   +13 more
europepmc   +1 more source

Radical Isogenies [PDF]

open access: yesLecture Notes in Computer Science, 2020
sponsorship: This work was supported in part by the Research Council KU Leuven grants C14/18/067 and STG/17/019, by CyberSecurity Research Flanders with reference number VR20192203, and by the Research Foundation Flanders (FWO) through the WOG Coding Theory and Cryptography. (Research Council KU Leuven|C14/18/067, Research Council KU Leuven|STG/17/019,
Wouter Castryck   +2 more
exaly   +4 more sources
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Horizontal isogeny theorems

Forum Mathematicum, 2002
Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
openaire   +2 more sources

Leveled Isogeny Problems with Hints

We define and analyze the Leveled Isogeny Problem with Hints (LIPH), which is a generalization of the Isogeny Problem with Level Structure first introduced by De Feo, Fouotsa and Panny at EUROCRYPT’24. In a LIPH instance, we are tasked to recover a secret isogeny φ$$\varphi $$ given masked torsion point images M·(φ(P),φ(Q))⊤$$M\cdot (\varphi (P ...
Subham Das   +3 more
openaire   +2 more sources

Verifiable Isogeny Walks: Towards an Isogeny-Based Postquantum VDF

2022
Jorge Chávez-Saab   +2 more
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