Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places

DOI10.1016/j.jpaa.2006.08.007zbMath1234.11077OpenAlexW2001262609MaRDI QIDQ878665

Ferruh Özbudak, Emrah Çakçak

Publication date: 26 April 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.08.007

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (13)

Correlation distribution of a sequence family generalizing some sequences of Trachtenberg ⋮ Explicit maximal and minimal curves over finite fields of odd characteristics ⋮ On the \(p\)-ary (cubic) bent and plateaued (vectorial) functions ⋮ Quadratic functions and maximal Artin-Schreier curves ⋮ Zeta functions of quadratic Artin–Schreier curves in characteristic two ⋮ A class of authentication codes with secrecy ⋮ More on quadratic functions and maximal Artin-Schreier curves ⋮ Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms ⋮ Curves related to Coulter's maximal curves ⋮ A new family of maximal curves over a finite field ⋮ THE RAMIFICATION GROUPS AND DIFFERENT OF A COMPOSITUM OF ARTIN–SCHREIER EXTENSIONS ⋮ Systematic authentication codes using additive polynomials ⋮ Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves

Cites Work

• Algebraic function fields and codes
• Curves with many points and configurations of hyperplanes over finite fields
• Artin-Schreier curves and weights of two-dimensional cyclic codes
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