RT Journal Article T1 Computing the Genus of a Class of Curves A1 Rodríguez Palanquex, María Cruz A1 García Villalba, Luis Javier A1 Luengo Velasco, Ignacio AB 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. PB Springer Verlag SN 0302-9743 YR 2001 FD 2001 LK https://hdl.handle.net/20.500.14352/58423 UL https://hdl.handle.net/20.500.14352/58423 LA eng NO This 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 DivisionK65/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. NO DGICYT DS Docta Complutense RD 11 jul 2025