Functiones et Approximatio Commentarii Mathematici

A note on a tower by Bassa, Garcia and Stichtenoth

Nurdagül Anbar and Peter Beelen

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Abstract

In this note, we prove that the tower given by Bassa, Garcia and Stichtenoth in [4] is a subtower of the one given by Anbar, Beelen and Nguyen in [2]. This completes the study initiated in [16,2] to relate all known towers over cubic finite fields meeting Zink's bound with each other.

Article information

Source
Funct. Approx. Comment. Math., Volume 57, Number 1 (2017), 47-60.

Dates
First available in Project Euclid: 28 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.facm/1490688016

Digital Object Identifier
doi:10.7169/facm/1615

Mathematical Reviews number (MathSciNet)
MR3704225

Zentralblatt MATH identifier
06864163

Subjects
Primary: 14H05: Algebraic functions; function fields [See also 11R58] 11G20: Curves over finite and local fields [See also 14H25]
Secondary: 14G50: Applications to coding theory and cryptography [See also 94A60, 94B27, 94B40]

Keywords
tower of function fields number of rational places Zink's bound

Citation

Anbar, Nurdagül; Beelen, Peter. A note on a tower by Bassa, Garcia and Stichtenoth. Funct. Approx. Comment. Math. 57 (2017), no. 1, 47--60. doi:10.7169/facm/1615. https://projecteuclid.org/euclid.facm/1490688016


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References

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