Publications (13) Jose Joaquin Bernal Buitrago publications

filter_list Statistics and Probability

2024

  1. Generalized Reed-Muller Codes: A New Construction of Information Sets

    IEEE International Symposium on Information Theory - Proceedings

2023

  1. New advances in permutation decoding of first-order Reed-Muller codes

    Finite Fields and their Applications, Vol. 88

2021

  1. A New Approach to the Berlekamp-Massey-Sakata Algorithm: Improving Locator Decoding

    IEEE Transactions on Information Theory, Vol. 67, Núm. 1, pp. 268-281

  2. Decoding up to 4 Errors in Hyperbolic-Like Abelian Codes by the Sakata Algorithm

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2020

  1. Constructions of Abelian Codes Multiplying Dimension of Cyclic Codes

    Mathematics in Computer Science, Vol. 14, Núm. 2, pp. 415-421

2019

  1. From ds-Bounds for cyclic codes to true minimum distance for abelian codes

    IEEE Transactions on Information Theory, Vol. 65, Núm. 3, pp. 1752-1763

2018

  1. Information Sets From Defining Sets for Reed-Muller Codes of First and Second Order

    IEEE Transactions on Information Theory

2017

  1. Reed-muller codes: Information sets from defining sets

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2016

  1. Apparent distance and a notion of bch multivariate codes

    IEEE Transactions on Information Theory, Vol. 62, Núm. 2, pp. 655-668

  2. Cyclic and BCH codes whose minimum distance equals their maximum BCH bound

    Advances in Mathematics of Communications, Vol. 10, Núm. 2, pp. 459-474

  3. Ds-bounds for cyclic codes: New bounds for abelian codes

    Proceedings of 2016 International Symposium on Information Theory and Its Applications, ISITA 2016

2015

  1. Permutation decoding of Z2Z4-linear codes

    Designs, Codes, and Cryptography, Vol. 76, Núm. 2, pp. 269-277

2012

  1. Partial Permutation Decoding for Abelian Codes

    2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)