Shalalfeh, Mahmoud2017-12-122017-12-122002-082002-082002-08http://hdl.handle.net/11693/35667Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2002.Includes bibliographical references (leaves 68-72).In this thesis, we study smooth projective absolutely irreducible curves defined over finite fields by fibre products of Artin-Schreier and Kummer coverings of the projective line. We construct some curves with many rational points defined by the fibre products of Artin-Schreier and Kummer coverings. Then, we apply Goppa construction to the curves that we have found, and obtain long linear codes with good relative parameters.vi, 72 leaves : illustrations ; 30 cmEnglishinfo:eu-repo/semantics/openAccessAlgebraic curvesBre productsArtin-Schreier extensionsKummer coveringsGeometric Goppa codesQA564 .S53 2002ThesisBILKUTUPB067186