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On subfields of the second generalization of the GK maximal function field.
- Source :
-
Finite Fields & Their Applications . Jun2020, Vol. 64, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- The second generalized GK function fields K n are a recently found family of maximal function fields over the finite field with q 2 n elements, where q is a prime power and n ≥ 1 an odd integer. In this paper we construct many new maximal function fields by determining various Galois subfields of K n. In case gcd (q + 1 , n) = 1 and either q is even or q ≡ 1 (mod 4) , we find a complete list of Galois subfields of K n. Our construction adds several previously unknown genera to the genus spectrum of maximal curves. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAXIMAL functions
*FINITE fields
*GENERALIZATION
*LIBRARY catalogs
*K-theory
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 64
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 142636554
- Full Text :
- https://doi.org/10.1016/j.ffa.2020.101669