Weierstrass Pairs and Minimum Distance of Goppa Codes
Designs, Codes and Cryptography
On Goppa Codes and Weierstrass Gaps at Several Points
Designs, Codes and Cryptography
Weierstrass Semigroups and Codes from a Quotient of the Hermitian Curve
Designs, Codes and Cryptography
Two-Point Codes on Norm-Trace Curves
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
Codes from the Suzuki function field
IEEE Transactions on Information Theory
On codes from norm-trace curves
Finite Fields and Their Applications
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In this paper, we consider the norm-trace curves which are defined by the equation $y^{q^{r-1}}+y^{q^{r-2}}+ \cdots +y=x^{\frac{q^r-1}{q-1}}$ over where q is a power of a prime number and r *** 2 is an integer. We determine the Weierstrass semigroup of the triple of points $\left(P_{\infty}, P_{00}, P_{0b} \right)$ on this curve.