Arithmetic, Geometry, and Coding Theory : Proceedings of the International Conference Held at Centre International de Rencontres de Mathématiques (CIRM), Luminy, France, June 28 - July 2 1993.
- 1st ed.
- 1 online resource (300 pages)
- De Gruyter Proceedings in Mathematics Series .
- De Gruyter Proceedings in Mathematics Series .
Intro -- A Weil theorem for singular curves -- An algorithm for characterizing linear bidimensional product codes -- MDS codes from hyperelliptic curves -- On hypersurfaces defined by a separated variables polynomial over a finite field -- Class numbers for some hyperelliptic curves -- Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields -- On the Clifford defect for special curves -- Number of points of plane sections and linear codes defined on algebraic varieties -- Quadratic algebraic function fields with ideal class number two -- A survey of Ramanujan graphs -- Codes associated to Grassmannians -- The shift bound for cyclic, Reed-Muller and geometric Goppa codes -- On special divisors and the two variable zeta function of algebraic curves over finite fields -- Minoration de certaines sommes exponentielles (II) -- Dénombrement des configurations dans le plan projectif -- Nombre de points des surfaces sur un corps fini -- Algebraic curves and sphere packings -- Two remarks on spectra of algebraic geometry codes -- An upper bound for generalized Hamming weights -- Generalized Hamming weights -- Fundamental open problems in coding theory -- List of Contributors -- List of Participants.
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9783110811056
Coding theory -- Congresses. Number theory -- Congresses. Geometry, Algebraic -- Congresses.