Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in
  the NRT-Metric   In this paper we consider self-dual NRT-codes, that is, self-dual codes in
the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman
(NRT-metric). We use polynomial invariant theory to describe the shape
enumerator of a binary self-dual, doubly even self-dual, and doubly-doubly even
self dual NRT-code $C\subseteq M_{n,2}(\mathbb{F}_{2})$. Motivated by these
results we describe the number of invariant polinomials that we must find to
describe the shape enumerator of a self-dual NRT-code of
$M_{n,s}(\mathbb{F}_{2})$. We define the ordered flip of a matrix $A\in
M_{k,ns}(\mathbb{F}_{q})$ and present some constructions of self-dual NRT-codes
over $\mathbb{F}_{q}$. We further give an application of ordered flip to the
classification of bidimensional self-dual NRT-codes.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org