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Higher weights for the Lagrangian–Grassmannian codes

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Abstract

We obtain descriptions of the Lagrangian–Grassmannian code (Carrillo-Pacheco and Zaldívar in Des Codes Cryptogr 60:291–268, 2011) as a linear code associated with an FFN(1, q)-projective variety (Carrillo-Pacheco and Zaldívar in Adv Math Commun 10:209–220, 2016), and using these descriptions, we obtain bounds for its higher weights.

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Acknowledgements

We would like to thank the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Academia de Matemáticas, Universidad Autónoma de la Ciudad de México, 09790, Mexico, D. F., Mexico

    Jesús Carrillo-Pacheco

  2. Departamento de Matemáticas, Universidad Autónoma Metropolitana-I, 09340, Mexico, D. F., Mexico

    Felipe Zaldívar

Authors
  1. Jesús Carrillo-Pacheco
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  2. Felipe Zaldívar
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Corresponding author

Correspondence to Felipe Zaldívar.

Additional information

J. Carrillo-Pacheco work is supported by the Laboratorio de Cifrado y Codificación de la Información (LCCI) of the Universidad Autónoma de la Ciudad de México.

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Carrillo-Pacheco, J., Zaldívar, F. Higher weights for the Lagrangian–Grassmannian codes. Bol. Soc. Mat. Mex. 25, 747–758 (2019). https://doi.org/10.1007/s40590-018-0219-5

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  • DOI: https://doi.org/10.1007/s40590-018-0219-5

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