Abstract | ||
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There is a nice combinatorial formula of P. Beelen and M. Datta for the r-th generalized Hamming weight of an affine cartesian code. Using this combinatorial formula we give an easy to evaluate formula to compute the r-th generalized Hamming weight for a family of affine cartesian codes. If X is a set of projective points over a finite field we determine the basic parameters and the generalized Hamming weights of the Veronese type codes on X and their dual codes in terms of the basic parameters and the generalized Hamming weights of the corresponding projective Reed-Muller-type codes on X and their dual codes. |
Year | DOI | Venue |
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2019 | 10.2478/auom-2020-0014 | ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA |
Keywords | DocType | Volume |
Reed-Muller-type codes,generalized Hamming weights,linear code,Veronese code | Journal | 28 |
Issue | ISSN | Citations |
1 | 1224-1784 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
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Manuel González Sarabia | 1 | 0 | 0.34 |
Delio Jaramillo | 2 | 0 | 0.34 |
Rafael H. Villarreal | 3 | 75 | 15.69 |