Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the generalized Hamming weights of certain Reed-Muller-type codes   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
$\mathbb{X}$ 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 $\mathbb{X}$ and their dual codes in terms of the basic parameters and the
generalized Hamming weights of the corresponding projective Reed--Muller-type
codes on $\mathbb{X}$ and their dual codes.

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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph