Marc Perret

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We give a formula for the number of rational points of projective algebraic curves deened over a nite eld, and a bound \\ a l a W eil" for connected ones. More precisely, we give the characteristic polynomials of the Frobenius endomorphism on the etalè-adic cohomology groups of the curve. Finally, as an analogue of Artin's holomorphy conjecture, we p r o ve(More)
Let q be a power of an odd prime number and Fq be the finite field with q elements. We will construct a binary spherical code from an algebraic curve C defined over Fq and a rational divisor G on C, as the twist by the quadratic character 11 of the Goppa code L(G). The computation of the parameters of this code is based on the study of some character sums.(More)
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