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Dergiler / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 5

Quadratic recursive towers of function fields over F2

Seher TUTDERE
Henning STICHTENOTH
Sayfa
665–682
Yayın Tarihi
2022-11-05
DOI
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Moreover, we estimate β1(F) for each such tower.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let F = (Fn)n≥0 be a quadratic recursive tower of algebraic function fields over the finite field F2 , i.e.
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Temel Bulgular & Veri:F is a recursive tower such that [Fn : Fn−1] = 2 for all n ≥ 1.
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Sonuç & Katkı:Moreover, we estimate β1(F) for each such tower.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let F = (Fn)n≥0 be a quadratic recursive tower of algebraic function fields over the finite field F2 , i.e. F is a recursive tower such that [Fn : Fn−1] = 2 for all n ≥ 1. For any integer r ≥ 1, let βr(F) := limn→∞ Br(Fn)/g(Fn), where Br(Fn) is the number of places of degree r and g(Fn) is the genus, respectively, of Fn/F2 . In this paper we give a classification of all rational functions f(X, Y ) ∈ F2(X, Y ) that may define a quadratic recursive tower F over F2 with at least one positive invariant βr(F). Moreover, we estimate β1(F) for each such tower.

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Bu Makaleye Atıf Yap

TUTDERE, S., STICHTENOTH, H. (2022). Quadratic recursive towers of function fields over F2. Turkish Journal of Mathematics, Cilt: 39 - Sayı: 5, 665–682. https://ajindex.com/articles/608226

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Kaynakça (17)

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