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A tower with non-Galois steps which attains the Drinfeld-Vladut bound
Authors:Juscelino Bezerra
Institution:IMPA, Estrada Dona Castorina 110, 22.460-320, Rio de Janeiro, Brazil
Abstract:We introduce a new tower of function fields over a finite field of square cardinality, which attains the Drinfeld-Vladut bound. One new feature of this new tower is that it is constructed with non-Galois steps; i.e., with non-Galois function field extensions. The exact value of the genus g(Fn) is also given (see Lemma 4).
Keywords:Towers of function fields  Finite fields  Rational places  Drinfeld-Vladut bound  Genus
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