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Multi point AG codes on the GK maximal curve

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Abstract

In this paper we investigate multi-point Algebraic–Geometric codes associated to the GK maximal curve, starting from a divisor which is invariant under a large automorphism group of the curve. We construct families of codes with large automorphism groups.

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Acknowledgements

This research was partially supported by Ministry for Education, University and Research of Italy (MIUR) (Project PRIN 2012 ”Geometrie di Galois e strutture di incidenza”—Prot. N. 2012XZE22K_005) and by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA - INdAM).

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, via Vanvitelli 1, 06123, Perugia, Italy

    Daniele Bartoli

  2. Dipartimento di Matematica Informatica ed Economia, Università degli Studi della Basilicata, Campus di Macchia Romana, viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Maria Montanucci

  3. Dipartimento di Matematica e Informatica, Università degli Studi di Firenze, viale Morgagni 67/A, 50134, Firenze, Italy

    Giovanni Zini

Authors
  1. Daniele Bartoli
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  2. Maria Montanucci
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  3. Giovanni Zini
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Correspondence to Giovanni Zini.

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Communicated by G. Korchmaros.

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Bartoli, D., Montanucci, M. & Zini, G. Multi point AG codes on the GK maximal curve. Des. Codes Cryptogr. 86, 161–177 (2018). https://doi.org/10.1007/s10623-017-0333-9

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  • DOI: https://doi.org/10.1007/s10623-017-0333-9

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