@article{e15d3c9ea77e437ebab37cdad81e1580,
title = "Intersections between the norm-trace curve and some low degree curves",
abstract = "In this paper we analyze the intersection between the norm-trace curve over Fq3 and the curves of the form y=ax3+bx2+cx+d, giving a complete characterization of the intersection between the curve and the parabolas (a=0), as well as sharp bounds for the other cases. This information is used for the determination of the weight distribution of some one-point AG codes arising from the curve.",
keywords = "AG Code, Norm-trace curve, Weight distribution",
author = "Matteo Bonini and Massimiliano Sala",
note = "Funding Information: The authors would like to thank the anonymous referee for their interesting and useful comments which permitted to improve the paper. The research of M. Bonini was supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA INdAM ). The results showed in this paper are included in M. Bonini's Ph.D. thesis (supervised by the second author and G. Rinaldo). Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2020",
month = oct,
doi = "10.1016/j.ffa.2020.101715",
language = "English",
volume = "67",
journal = "Finite Fields and Their Applications",
issn = "1071-5797",
publisher = "Academic Press",
}