Rodríguez Palanquex, María CruzGarcía Villalba, Luis JavierLuengo Velasco, Ignacio2023-06-202023-06-2020010302-974310.1007/3-540-45624-4_19https://hdl.handle.net/20.500.14352/58423This work was supported by DGICYT (Dirección General de Investigación del Ministerio de Ciencia y Tecnología) under grants PB97-0284-C02-01, TIC2000-0735 and TIC 2000-0737-C03-02. During this work J. Garc´ıa-Villalba was with the IBM Research Division K65/C2 at IBM Almaden Research Center, San Jose, California, USA (e-mail: javiervi@almaden.ibm.com). J. García-Villalba would like to express his appreciation to the Programa Complutense del Amo for providing him a grant to stay at IBM Almaden Research Center.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.engjournal articlehttp://link.springer.com/chapter/10.1007%2F3-540-45624-4_19http://link.springer.com/restricted access512.7Geometria algebraica1201.01 Geometría Algebraica