In this paper we analyze the intersection between the norm-trace curve over Fqjavax.xml.bind.JAXBElement@1a6acd55 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. © 2020 Elsevier Inc. All rights reserved
Intersections between the norm-trace curve and some low degree curves / Bonini, M.; Sala, M.. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - ELETTRONICO. - 67:(2020), pp. 101715.1-101715.19. [10.1016/j.ffa.2020.101715]
Intersections between the norm-trace curve and some low degree curves
Bonini M.;Sala M.
2020-01-01
Abstract
In this paper we analyze the intersection between the norm-trace curve over Fqjavax.xml.bind.JAXBElement@1a6acd55 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. © 2020 Elsevier Inc. All rights reservedFile | Dimensione | Formato | |
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