Results 101 to 110 of about 216 (184)

An extension of Kedlaya’s algorithm for hyperelliptic curves

Journal of Symbolic Computation, 2012
In this paper we describe a generalisation and adaptation of Kedlaya's algorithm for computing the zeta function of a hyperelliptic curve over a finite field of odd characteristic that the author used for the implementation of the algorithm in the Magma library. We generalise the algorithm to the case of an even degree model.
openaire   +3 more sources

Stopping Sets of Algebraic Geometry Codes over Hyperelliptic Curves of Genus Two

Mathematics
Stopping sets are useful for analyzing the performance of a linear code under an iterative decoding algorithm over an erasure channel. In this paper, we consider stopping sets of one-point algebraic geometry codes defined by a hyperelliptic curve of ...
Abdulla Eid
doaj   +1 more source

A secure remote health monitoring model for early disease diagnosis in cloud-based IoT environment. [PDF]

Pers Ubiquitous Comput, 2023
Akhbarifar S, Javadi HHS, Rahmani AM, Hosseinzadeh M.   +3 more
europepmc   +1 more source

Singularity of the Spectrum for Smooth Area-Preserving Flows in Genus Two and Translation Surfaces Well Approximated by Cylinders. [PDF]

Commun Math Phys, 2021
Chaika J, Frączek K, Kanigowski A, Ulcigrai C.   +3 more
europepmc   +1 more source

Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]

J Nonlinear Sci, 2023
Congy T, El GA, Roberti G, Tovbis A.
europepmc   +1 more source

Counting hyperelliptic curves

Advances in Mathematics, 2009
We find a closed formula for the number $\operatorname{hyp}(g)$ of hyperelliptic curves of genus $g$ over a finite field $k=\mathbb{F}_q$ of odd characteristic. These numbers $\operatorname{hyp}(g)$ are expressed as a polynomial in $q$ with integer coefficients that depend on the set of divisors of $q-1$ and $q+1$.
openaire   +2 more sources

Arithmetic statistics of Prym surfaces. [PDF]

Math Ann, 2023
Laga J.
europepmc   +1 more source

The spectrum of Feynman-integral geometries at two loops

Journal of High Energy Physics
We provide a complete classification of the Feynman-integral geometries at two-loop order in four-dimensional Quantum Field Theory with standard quadratic propagators.
Piotr Bargieła, Hjalte Frellesvig, Robin Marzucca, Roger Morales, Florian Seefeld, Matthias Wilhelm, Tong-Zhi Yang   +6 more
doaj   +1 more source

An Online-Offline Certificateless Signature Scheme for Internet of Health Things. [PDF]

J Healthc Eng, 2020
Khan MA, Rehman SU, Uddin MI, Nisar S, Noor F, Alzahrani A, Ullah I.   +6 more
europepmc   +1 more source

Elliptic Curve-Based Query Authentication Protocol for IoT Devices Aided by Blockchain. [PDF]

Sensors (Basel), 2023
Nita SL, Mihailescu MI.
europepmc   +1 more source