Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A generalization of the Giulietti–Korchmáros maximal curve - MaRDI portal

A generalization of the Giulietti–Korchmáros maximal curve

From MaRDI portal
Publication:3580690

DOI10.1515/ADVGEOM.2010.020zbMath1196.14023OpenAlexW2015858989MaRDI QIDQ3580690

Henning Stichtenoth, Arnaldo Garcia, Cem Güneri

Publication date: 13 August 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2010.020




Related Items (43)

Quotient curves of the GK curveTwo-point AG codes from the Beelen-Montanucci maximal curveOn the genus spectrum of maximal curves over finite fieldsWeierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber coversPure gaps on curves with many rational placesCertain sextics with many rational pointsWeierstrass semigroups on the Skabelund maximal curveAG codes and AG quantum codes from the GGS curveSome Ree and Suzuki curves are not Galois covered by the Hermitian curveA complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function fieldMulti-point codes from the GGS curvesExplicit equations for maximal curves as subcovers of the \(BM\) curveOn maximal curves which are not Galois subcovers of the Hermitian curveThe automorphism groups of a family of maximal curvesFurther examples of maximal curves which cannot be covered by the Hermitian curveAn approach to the bases of Riemann-Roch spacesOn the number of rational points on Artin-Schreier hypersurfacesOn the weights of dual codes arising from the GK curveTANGENT-FILLING PLANE CURVES OVER FINITE FIELDSNew sextics of genus 6 and 10 attaining the Serre boundOn Kummer extensions with one place at infinityGeneralized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curveA modular interpretation of BBGS towersAutomorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber coversAn \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphismsOn subfields of the second generalization of the GK maximal function fieldWiman's and Edge's sextics attaining Serre's boundOn some Galois covers of the Suzuki and Ree curvesNew examples of maximal curves with low genusAG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curvesOn maximal curves that are not quotients of the Hermitian curveHilbert quasi-polynomial for order domains and application to coding theoryLocally recoverable codes with availability \(t\geq 2\) from fiber products of curvesOn the spectrum of genera of quotients of the Hermitian curveOn certain self-orthogonal AG codes with applications to quantum error-correcting codesThe complete list of genera of quotients of the \(\mathbb{F}_{q^2}\)-maximal Hermitian curve for \(q \equiv 1 \pmod 4\)\(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curveThe curve \(y^n=x^\ell(x^m+1)\) over finite fields. IIAG codes from the second generalization of the GK maximal curveOn the classification problem for the genera of quotients of the Hermitian curveClassification of all Galois subcovers of the Skabelund maximal curvesWeierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curveWeierstrass semigroups at every point of the Suzuki curve



Cites Work


This page was built for publication: A generalization of the Giulietti–Korchmáros maximal curve