Results 91 to 100 of about 274 (176)

New isogeny theorems

open access: yes, 2023
Given a finitely generated field extension K of the rational numbers and an abelian variety C over K, we consider the class of all abelian varieties over K which are isogenous (over K) to an abelian subvariety of a power of C. We show that there is a single, naturally constructed abelian variety B in the class whose ring of endomorphisms controls all ...
Rémond, Gaël, Gaudron, Eric
openaire   +1 more source

Isogenies of Polynomial Formal Groups

open access: yesJournal of Algebra, 1999
A polynomial formal group is a commutative \(n\) dimensional formal group law \(F(x, y) = (F_1(x, y),\dots , F_n(x, y))\) such that the power series in \(n\) variables \(F_i(x, y)\) are polynomials. For \(n=1\), examples are \(F(x, y) = x+y + cxy\). For \(n>1\) see \textit{L. Childs, C. Greither, D. J. Moss, J. Sauerberg} and \textit{K.
openaire   +1 more source

Lattices in Tate modules. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Poonen B, Rybakov S.
europepmc   +1 more source

Non-Invertible Public Key Certificates. [PDF]

open access: yesEntropy (Basel), 2021
Lizama-Perez LA, López R JM.
europepmc   +1 more source

The metaverse digital environments: a scoping review of the challenges, privacy and security issues. [PDF]

open access: yesFront Big Data, 2023
Tukur M   +6 more
europepmc   +1 more source

{KLaPoTi}: An asymptotically efficient isogeny group action from 2-dimensional isogenies

open access: yesIACR Communications in Cryptology
We construct and implement an efficient post-quantum commutative cryptographic group action based on combining the SCALLOP framework for group actions from isogenies of oriented elliptic curves on one hand with the recent Clapoti method for polynomial-time evaluation of the CM group action on elliptic curves on ...
Lorenz Panny   +2 more
openaire   +1 more source

Post-quantum distributed ledger technology: a systematic survey. [PDF]

open access: yesSci Rep, 2023
Parida NK   +4 more
europepmc   +1 more source

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