Results 1 to 10 of about 232,120 (259)

The $a$-number of jacobians of certain maximal curves [PDF]

Transactions on Combinatorics, 2021
In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{\frac{q+1}{2}}$ over the finite field $\mathbb{F}_{q^2}$.
vahid Nourozi, Saeed Tafazolian, Farhad Rahamti   +2 more
doaj   +3 more sources

Algebraic curves and maximal arcs [PDF]

Journal of Algebraic Combinatorics, 2008
3 Figures Several changes advised by the ...
Angela Aguglia, Gabor Korchmáros, Luca Giuzzi   +2 more
exaly   +4 more sources

Curves related to Coulter's maximal curves

Finite Fields and Their Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferruh Ozbudak
exaly   +3 more sources

The Maximal Rank Conjecture for sections of curves [PDF]

Journal of Algebra, 2020
Let be a general curve of genus g embedded via a general linear series of degree d in P^r. The well-known Maximal Rank Conjecture asserts that the restriction maps H^0(O_{P^r}(m)) \to H^0(O_C(m) are of maximal rank; if known, this conjecture would determine the Hilbert function of C.
exaly   +3 more sources

Maximal inequality along curves associated with oscillatory integral operator

Journal of Inequalities and Applications
In this paper, we establish maximal estimates along curves for a class of multiparameter oscillatory integral operators, which can be seen as an extension to the results of the Schrödinger type multiparameter operators of Sjolin and Soria (J. Math. Anal.
Yaoming Niu, Ying Xue
doaj   +2 more sources

A characterization of maximal and minimal Fermat curves

Finite Fields and Their Applications, 2010
Let \({\mathcal C}(m)\) be the Fermat curve of degree \(m\) defined over \({\mathbb F}_{q^2}\) with \(q=p^n\): \[ X^m+Y^m=1. \] The author proves that \({\mathcal C}(m)\) is maximal over \({\mathbb F}_{q^2}\) if and only if \(m\) divides \(p^n+1\), and \({\mathcal C}(m)\) is minimal over \({\mathbb F}_{q^2}\) if and only if \(n\) is even and there is a
Saeed Tafazolian
exaly   +2 more sources

Quantum Stabilizer Codes From Maximal Curves [PDF]

IEEE Transactions on Information Theory, 2014
A curve attaining the Hasse-Weil bound is called a maximal curve. Usually classical error-correcting codes obtained from a maximal curve have good parameters. However, the quantum stabilizer codes obtained from such classical error-correcting codes via Euclidean or Hermitian self-orthogonality do not always possess good parameters.
Lingfei Jin
exaly   +3 more sources

A construction of a class of maximal Kummer curves

Finite Fields and Their Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marko Moisio
exaly   +2 more sources

The a-number of maximal curves of third largest genus [PDF]

AUT Journal of Mathematics and Computing, 2022
The $a$-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the $a$-number of $y^q + y = x^{\frac{q+1}{3}}$ and $\sum_{t=1}^{s} y^{q/3^t}= x^{q+1}$ with $q = 3^s$ over the finite ...
Vahid Nourozi, Saeed Tafazolian
doaj   +1 more source

Maximizing Curves Viewed as Free Curves

International Mathematics Research Notices, 2023
Abstract The aim of this paper is to provide a direct link between maximizing curves that occur in the construction of smooth algebraic surfaces having the maximal possible Picard numbers and reduced free plane curves with simple singularities.
Dimca, Alexandru, Pokora, Piotr
openaire   +2 more sources