Results 21 to 30 of about 4,641 (196)
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 isogenous. Specifically, assuming that their endomorphism algebras tensored with $\mathbb{Q}
Chiarellotto, Bruno, Trihan, Fabien
doaj +2 more sources
Horizontal racewalking using radical isogenies [PDF]
IACR Cryptology ePrint Archive, 2022 We address three main open problems concerning the use of radical isogenies, as presented by Castryck, Decru and Vercauteren at Asiacrypt 2020, in the computation of long chains of isogenies of fixed, small degree between elliptic curves over finite ...
W. Castryck +3 more
semanticscholar +3 more sources
Radical isogenies and modular curves [PDF]
, 2023 This article explores the connection between radical isogenies and modular curves. Radical isogenies are formulas designed for the computation of chains of isogenies of fixed small degree $N$, introduced by Castryck, Decru, and Vercauteren at Asiacrypt ...
Valentina Pribanić
core +4 more sources
Review of Chosen Isogeny-Based Cryptographic Schemes
Cryptography, 2022 Public-key cryptography provides security for digital systems and communication. Traditional cryptographic solutions are constantly improved, e.g., to suppress brute-force attacks.
Bartosz Drzazga, Łukasz Krzywiecki
doaj +1 more source
Group signatures and more from isogenies and lattices: generic, simple, and efficient
Designs, Codes and Cryptography, 2023 We construct an efficient dynamic group signature (or more generally an accountable ring signature) from isogeny and lattice assumptions. Our group signature is based on a simple generic construction that can be instantiated by cryptographically hard ...
Ward Beullens +4 more
semanticscholar +1 more source
Radical Isogenies on Montgomery Curves [PDF]
, 2021 We work on some open problems in radical isogenies. Radical isogenies are formulas to compute chains of $N$-isogenies for small $N$ and proposed by Castryck, Decru, and Vercauteren in Asiacrypt 2020.
Tomoki Moriya, Hiroshi Onuki
core +1 more source
Fully projective radical isogenies in constant-time [PDF]
, 2021 At PQCrypto-2020, Castryck and Decru proposed CSURF (CSIDH on the surface) as an improvement to the CSIDH protocol. Soon after that, at Asiacrypt-2020, together with Vercauteren they introduced radical isogenies as a further improvement.
Jesús-Javier Chi-Domínguez +1 more
core +1 more source
IACR Cryptology ePrint Archive, 2023 . In this paper, we describe an algorithm to compute chains of (2 , 2) - isogenies between products of elliptic curves in the theta model. The description of the algorithm is split into various subroutines to allow for a precise field operation count. We
P. Dartois +3 more
semanticscholar +1 more source
, 2021 This paper introduces a new approach to computing isogenies called radical isogenies and a corresponding method to compute chains of $N$-isogenies that is very efficient for small $N$. The method is fully deterministic and completely avoids generating $
Wouter Castryck +2 more
core +1 more source
An Efficient Signature Scheme From Supersingular Elliptic Curve Isogenies
IEEE Access, 2019 Since supersingular elliptic curve isogenies are one of the several candidate sources of hardness for building post-quantum cryptographic primitives, the research of efficient signature schemes based on them is still a hot topic.
Yan Huang +3 more
doaj +1 more source