de Mathématiques de Luminy
Second highest number of points of hypersurfaces in .
For Generalized Reed-Muller, GRM(q,d,n), codes, the determination of the second weight is still generally insolved, it is an open question of Cherdieu - Rolland . In order to answer this question, we study some maximal hypersurfaces and we compute the second weight of GRM(q,d,n) codes with the restriction that q 2d.
2000 Mathematics Subject Classification. 11T71, 14J70, 05B25.