Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Truncated & Supplemented Pascal Matrix and Applications   In this paper, we introduce the $k\times n$ (with $k\leq n$) truncated,
supplemented Pascal matrix which has the property that any $k$ columns form a
linearly independent set. This property is also present in Reed-Solomon codes;
however, Reed-Solomon codes are completely dense, whereas the truncated,
supplemented Pascal matrix has multiple zeros. If the maximal-distance
separable code conjecture is correct, then our matrix has the maximal number of
columns (with the aformentioned property) that the conjecture allows. This
matrix has applications in coding, network coding, and matroid theory.

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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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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: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int