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A maximal curve which is not a Galois subcover of the Hermitian curve
Authors:Arnaldo Garcia  Henning Stichtenoth
Affiliation:1. IMPA—, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, BRAZIL
2. Universit?t Duisburg—Essen, Campus Essen, FB Mathematik, 45117, Essen, GERMANY
3. Sabanci University MDBF, Orhanli, 34956, Tuzla/Istanbul, TURKEY
Abstract:We present a maximal curve of genus 24 defined over $$
{Bbb F}_{{q^{2} }} 
$$ with q = 27, that is not a Galois subcover of the Hermitian curve. *The author was partially supported by CNPq-Brazil (470193/03-4) and by PRONEX (CNPq-FAPERJ).
Keywords:rational points  finite fields  maximal curves  Galois coverings  Hermitian curves
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