Results 71 to 80 of about 8,681 (237)
Computing isogenies between finite Drinfeld modules
IACR Cryptology ePrint ArchiveWe prove that isogenies between Drinfeld F[x]-modules over a finite field can be computed in polynomial time. This breaks Drinfeld analogs of isogeny-based cryptosystems.
B. Wesolowski
semanticscholar +1 more source
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
On families of K3 surfaces with real multiplication
Forum of Mathematics, SigmaWe exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.
Bert van Geemen, Matthias Schütt
doaj +1 more source
On isogeny classes of Edwards curves over finite fields [PDF]
, 2011 We count the number of isogeny classes of Edwards curves over finite fields, answering a question recently posed by Rezaeian and Shparlinski. We also show that each isogeny class contains a {\em complete} Edwards curve, and that an Edwards curve is ...
Ahmadi, Omran, Granger, Robert
core +1 more source
Pure Anderson Motives and Abelian \tau-Sheaves
, 2010 Pure t-motives were introduced by G. Anderson as higher dimensional generalizations of Drinfeld modules, and as the appropriate analogs of abelian varieties in the arithmetic of function fields.
G. Anderson +12 more
core +1 more source
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi +2 more
wiley +1 more source
Constant time lattice reduction in dimension 4 with application to SQIsign
Transactions on Cryptographic Hardware and Embedded SystemsIn this paper we propose a constant time lattice reduction algorithm for integral dimension-4 lattices. Motivated by its application in the SQIsign postquantum signature scheme, we provide for the first time a constant time LLLlike algorithm with ...
Otto Hanyecz +4 more
doaj +1 more source
Constructing Permutation Rational Functions From Isogenies
, 2017 A permutation rational function $f\in \mathbb{F}_q(x)$ is a rational function that induces a bijection on $\mathbb{F}_q$, that is, for all $y\in\mathbb{F}_q$ there exists exactly one $x\in\mathbb{F}_q$ such that $f(x)=y$.
Bisson, Gaetan, Tibouchi, Mehdi
core +2 more sources
Mathematics of ComputationWe first give a cleaner and more direct approach to the derivation of the Fast model of the Kummer surface. We show how to construct efficient ( N , N ) (N,N) -isogenies, for any odd N N , both on the general Kummer surface and on the Fast model.
Corte-Real Santos, M, Flynn, EV
openaire +2 more sources
Jordan correspondence and block distribution of characters
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We complete the determination of the ℓ$\ell$‐block distribution of characters for quasi‐simple exceptional groups of Lie type up to some minor ambiguities relating to non‐uniqueness of Jordan decomposition. For this, we first determine the ℓ$\ell$‐block distribution for finite reductive groups whose ambient algebraic group defined in ...
Radha Kessar, Gunter Malle
wiley +1 more source