Browsing by Subject "Number theory."
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Item Open Access Algebro geometric methods in coding theory(Bilkent University, 1999) Özen, İbrahimIn this work, we studied a class of codes that, as a subspace, satisfy a certain condition for (semi)stability. We obtained the Poincare polynomial of the nonsingular projective variety which is formed by the equivalence classes of such codes having coprime code length n and number of information symbols k. We gave a lower bound for the minimum distance parameter d of the semistable codes. We show that codes having transitive automorphism group or those corresponding to point configurations having irreducible automorphism group are (semi)stable. Also a mass formula for classes of stable codes with coprime n and k is obtained. For the asymptotic case, where n and k tend to infinity while their ratio ^ is seperated both from 0 and 1, we show that all codes are stable.Item Open Access The linear mean value of the remainder term in the problem of asymptotic behaviour of eigenfunctions of the automorphic Laplacian(Bilkent University, 1996) Emirleroğlu, ZernişanThe purpose of this thesis is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunctions over the discrete spectrum of the automorphic Laplacian.