On lower bounds of character sums

Abstract

111 ilii.s work wo oxlomlod llio ic.sult.s of S.A. Slc|)aiiov [3], [i] about lower bouiid.s for incomplete clia.ra.cter .suiiks over a prime finite Held to the ea..se of arbitrar}^ linite field Moreover we atso a.pplied Cioppats con.struction to .siiperelliptic curves witli a lot of rational |)oints to construct rather good geometric Goppa codes.