A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

Nurdagül Anbar; Alp Bassa; Peter  Beelen

doi:10.1016/j.ffa.2017.08.006

A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

Nurdagül Anbar, Alp Bassa, Peter Beelen

Bogazici University

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Abstract

We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchmáros function fields C_n/F_q2nfor n ≥5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.

Original language	English
Journal	Finite Fields and Their Applications
Volume	48
Pages (from-to)	318-330
ISSN	1071-5797
DOIs	https://doi.org/10.1016/j.ffa.2017.08.006
Publication status	Published - 2017

Keywords

Giulietti–Korchmáros function field
Hasse–Weil bound
Maximal function fields
Quotient curves
Galois subfields
Genus spectrum

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COFUNDPostdocDTU: COFUNDPostdocDTU
Præstrud, M. R. (Project Participant) & Brodersen, S. W. (Project Participant)
01/01/2014 → 31/12/2019
Project: Research

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title = "A complete characterization of Galois subfields of the generalized Giulietti–Korchm{\'a}ros function field",

abstract = "We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchm{\'a}ros function fields Cn/Fq2n for n ≥5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.",

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T1 - A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

AU - Anbar, Nurdagül

AU - Bassa, Alp

AU - Beelen, Peter

PY - 2017

Y1 - 2017

N2 - We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchmáros function fields Cn/Fq2n for n ≥5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.

AB - We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchmáros function fields Cn/Fq2n for n ≥5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.

KW - Giulietti–Korchmáros function field

KW - Hasse–Weil bound

KW - Maximal function fields

KW - Quotient curves

KW - Galois subfields

KW - Genus spectrum

U2 - 10.1016/j.ffa.2017.08.006

DO - 10.1016/j.ffa.2017.08.006

M3 - Journal article

SN - 1071-5797

VL - 48

SP - 318

EP - 330

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

ER -

A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

Abstract

Keywords

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COFUNDPostdocDTU: COFUNDPostdocDTU

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