Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How arithmetic and geometry make error correcting codes better   This note completes a talk given at the conference Curves over Finite Fields:
past, present and future celebrating the publication the book {\em Rational
Points on Curves over Finite Fields by J.-P. Serre and organised at Centro de
ciencias de Benasque in june 2021. It discusses a part of the history of
algebraic geometry codes together with some of their recent applications. A
particular focus is done on the "multiplicative" structure of these codes, i.e.
their behaviour with respect to the component wise product. Some open questions
are raised and discussed.

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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: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con