Abstract
The aim of this paper is to present an exhaustive algebraic study of a new class of curves, the so-called Quasihermitian curves (that includes the Hermitian curves), computing its genus. These curves allow to construct good algebraic geometric Goppa codes since they are absolutely irreducible plane curves with many rational points on Fq.
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© 2001 Springer-Verlag Berlin Heidelberg
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Rodríguez-Palánquex, M.C., García-Villalba, L.J., Luengo-Velasco, I. (2001). Computing the Genus of a Class of Curves. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_19
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DOI: https://doi.org/10.1007/3-540-45624-4_19
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