Title
On the generalized Hamming weights of certain Reed-Muller-type codes.
Abstract
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
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
Manuel González Sarabia100.34
Delio Jaramillo200.34
Rafael H. Villarreal37515.69