Finite fields
Rational Points on Curves over Finite Fields: Theory and Applications
Rational Points on Curves over Finite Fields: Theory and Applications
Algebraic-Geometric Codes
The Number of Rational Points of a Class of Artin-Schreier Curves
Finite Fields and Their Applications
Systematic authentication codes using additive polynomials
Designs, Codes and Cryptography
A class of authentication codes with secrecy
Designs, Codes and Cryptography
| Hi-index | 0.00 |
We study a class of curves over finite fields such that the maximal (respectively minimal) curves of this class form a subclass containing the set of maximal (respectively minimal) curves of Coulter (cf. [R.S. Coulter, The number of rational points of a class of Artin-Schreier curves, Finite Fields Appl. 8 (2002) 397-413, Theorem 8.12]) as a proper subset. We determine the exact number of rational points of the curves in the class and we characterize maximal (respectively minimal) curves of the class as subcovers of some suitable curves. In particular we show that Coulter's maximal curves are Galois subcovers of the appropriate Hermitian curves.