Abstract | ||
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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 F"q^n, 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. |
Year | DOI | Venue |
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2007 | 10.1016/j.ffa.2005.11.002 | Finite Fields and Their Applications |
Keywords | Field | DocType |
generalized reed-muller,finite fields appl,open question,highest number,j.p. cherdieu,maximal hypersurfaces,reed muller code,finite field | Combinatorics,Finite field,Algebra,Reed–Muller code,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 3 | 1071-5797 |
Citations | PageRank | References |
12 | 1.16 | 2 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Adnen Sboui | 1 | 25 | 2.75 |