On a tower of Garcia and Stichtenoth | Zendy

Seher Tutdere | Zendy

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On a tower of Garcia and Stichtenoth

Author(s) -

Seher Tutdere

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1310-52

Subject(s) - tower , mathematics , garcia , combinatorics , limit (mathematics) , field (mathematics) , finite field , algebraic number , upper and lower bounds , function (biology) , discrete mathematics , mathematical analysis , pure mathematics , humanities , philosophy , civil engineering , evolutionary biology , engineering , biology

In 2003, Garcia and Stichtenoth constructed a recursive tower F = (Fn)n 0 of algebraic function elds over the nite eld F q, where q = l r with r 1 and l > 2 is a power of the characteristic of F q. They also gave a lower bound for the limit of this tower. In this paper, we compute the exact value of the genus of the algebraic function eld Fn=F q for each n 0. Moreover, we prove that when q = 2 k , with k 2, the limit of the tower F attains the lower

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