Intersections between the norm-trace curve and some low degree curves

@article{Bonini2020IntersectionsBT,
  title={Intersections between the norm-trace curve and some low degree curves},
  author={Matteo Bonini and Massimiliano Sala},
  journal={ArXiv},
  year={2020},
  volume={abs/1812.08590}
}
Rational points on cubic surfaces and AG codes from the Norm-Trace curve
TLDR
A complete characterization of the intersections between the Norm-Trace curve over Fq3 and the curves of the form y = ax 3 + bx + cx+ d is given, generalizing a previous result by Bonini and Sala and derive some general bounds for the number of rational points on a cubic surface defined over FQ3.
On the weights of dual codes arising from the GK curve
TLDR
The minimum distance and the minimum weight codewords of dual algebraic-geometric codes associated with the Giulietti–Korchmáros maximal curve are computed and the generalized Hamming weights of such codes are investigated.
Quantum codes from one-point codes on norm-trace curves
  • Boran Kim
  • Computer Science
    Cryptography and Communications
  • 2022

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