Institut de Mathématiques de Luminy

Abstract 2006-19

Sboui Adnen.
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 [1]. 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.
Key words and phrases: hypersurfaces, weight, Reed-Muller codes.


Last update : november 23, 2006, EL.