A Weil theorem for singular curves

Kapitel in diesem Buch

1. I-IV I
2. Foreword V
3. List of Lectures VII
4. Table of Contents XI
5. A Weil theorem for singular curves 1
6. An algorithm for characterizing linear bidimensional product codes 9
7. MDS codes from hyperelliptic curves 23
8. On hypersurfaces defined by a separated variables polynomial over a finite field 35
9. Class numbers for some hyperelliptic curves 45
10. Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields 53
11. On the Clifford defect for special curves 67
12. Number of points of plane sections and linear codes defined on algebraic varieties 77
13. Quadratic algebraic function fields with ideal class number two 105
14. A survey of Ramanujan graphs 127
15. Codes associated to Grassmannians 145
16. The shift bound for cyclic, Reed-Muller and geometric Goppa codes 155
17. On special divisors and the two variable zeta function of algebraic curves over finite fields 175
18. Minoration de certaines sommes exponentielles (II) 185
19. Dénombrement des configurations dans le plan projectif 199
20. Nombre de points des surfaces sur un corps fini 209
21. Algebraic curves and sphere packings 225
22. Two remarks on the spectra of algebraic geometry codes 253
23. An upper bound for generalized Hamming weights 263
24. Generalized Hamming weights; Fundamental open problems in coding theory 269
25. List of Contributors 283
26. List of Partcipants 287