Results 91 to 100 of about 6,385 (201)

The isogeny conjecture for A-motives [PDF]

Inventiones mathematicae, 2011
ISSN:1432 ...
openaire   +3 more sources

Isogeny classes of abelian varieties over finite fields [PDF]

, 1968
Taira Honda
openalex   +1 more source

Orienteering with One Endomorphism. [PDF]

Mathematica (N Y), 2023
Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN.   +5 more
europepmc   +1 more source

Arithmetic on generalized Hessian curves using compression function and its applications to the isogeny-based cryptography

, 2022
Michał Wroński, Tomasz Kijko
openalex   +1 more source

Analysis of the applicability of existing secret separation schemes in the post-quaternary era

Научно-технический вестник информационных технологий, механики и оптики
Modern approaches to secret sharing have been examined, encompassing both classical and post-quantum cryptographic schemes. The study explores methods for distributing secret information among multiple participants using various mathematical primitives ...
E. F. Kustov, S. V. Bezzateev
doaj   +1 more source

dCTIDH: Fast & Deterministic CTIDH

Transactions on Cryptographic Hardware and Embedded Systems
This paper presents dCTIDH, a CSIDH implementation that combines two recent developments into a novel state-of-the-art deterministic implementation. We combine the approach of deterministic variants of CSIDH with the batching strategy of CTIDH, which ...
Fabio Campos, Andreas Hellenbrand, Michael Meyer, Krijn Reijnders   +3 more
doaj   +1 more source

Cohomological dimension of Laumon 1-motives up to isogenies

, 2008
We prove that the category of Laumon 1-motives up isogenies over a field of characteristic zero is of cohomological dimension $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over ...
Mazzari, N.
core  

Isogenies of abelian varieties

Journal of Pure and Applied Algebra, 1993
This paper deals with the following problems: Given two polarized abelian varieties \(X\) and \(Y\) over a field \(F\) which are isogenous over \(\overline F\), are they isogenous over \(F\)? And if they are not, how much of the \(n\)-torsion must be adjoined to \(F\) in order that they are?
Silverberg, A., Zarhin, Yu.G.
openaire   +1 more source

Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology. [PDF]

Proc Natl Acad Sci U S A, 2022
Howe S.
europepmc   +1 more source

Efficiency of SIDH-based signatures (yes, SIDH)

Journal of Mathematical Cryptology
In this note, we assess the efficiency of a supersingular isogeny Diffie-Hellman (SIDH)-based digital signature built on a weaker variant of a recent identification protocol proposed by Basso et al.
Ghantous Wissam, Pintore Federico, Veroni Mattia   +2 more
doaj   +1 more source