Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583391 | Finite Fields and Their Applications | 2007 | 6 Pages |
Abstract
For generalized Reed–Muller, GRM(q,d,n), codes, the determination of the second weight is still generally unsolved, it is an open question of Cherdieu and Rolland [J.P. Cherdieu, R. Rolland, On the number of points of some hypersurfaces in , Finite Fields Appl. 2 (1996) 214–224]. 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.
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