How to Know if a Linear Code Is a Group Code?. - José Joaquín Bernal; Ángel del Río; Juan Jacobo Simón (ICMCTA, 2008)

There Are Not Non-obvious Cyclic Affine-invariant Codes. - José Joaquín Bernal; Ángel del Río; Juan Jacobo Simón (AAECC, 2009)

Group code structures on affine-invariant codes - José Joaquín Bernal; Ángel del Río; Juan Jacobo Simón (CoRR, 2009)

An intrinsical description of group codes. - José Joaquín Bernal; Ángel del Río; Juan Jacobo Simón (Des. Codes Cryptogr., 2009)

Information sets for abelian codes. - José Joaquín Bernal; Juan Jacobo Simón (ITW, 2010)

Information Sets From Defining Sets in Abelian Codes. - José Joaquín Bernal; Juan Jacobo Simón (IEEE Trans. Inf. Theory, 2011)

Computing the Camion's multivariate BCH bound. - José Joaquín Bernal; Diana H. Bueno-Carreño; Juan Jacobo Simón (ITW, 2013)

Permutation decoding of Z2Z4-linear codes - José Joaquín Bernal; Joaquim Borges; Cristina Fernández-Córdoba; Mercè Villanueva (CoRR, 2013)

Partial Permutation Decoding for Abelian Codes. - José Joaquín Bernal; Juan Jacobo Simón (IEEE Trans. Inf. Theory, 2013)

Information sets in abelian codes: defining sets and Groebner basis. - José Joaquín Bernal; Juan Jacobo Simón (Des. Codes Cryptogr., 2014)

A notion of multivariate BCH bounds and codes. - José Joaquín Bernal; Juan Jacobo Simón; Diana H. Bueno-Carreño (ACM Commun. Comput. Algebra, 2015)

Permutation decoding of ℤ2ℤ4-linear codes. - José Joaquín Bernal; Joaquim Borges; Cristina Fernández-Córdoba; Mercè Villanueva (Des. Codes Cryptogr., 2015)

Ds-bounds for cyclic codes: New bounds for abelian codes. - José Joaquín Bernal; Juan Jacobo Simón; Marinês Guerreiro (ISITA, 2016)

Cyclic and BCH codes whose minimum distance equals their maximum BCH bound. - José Joaquín Bernal; Diana H. Bueno-Carreño; Juan Jacobo Simón (Adv. Math. Commun., 2016)

Apparent Distance and a Notion of BCH Multivariate Codes. - José Joaquín Bernal; Diana H. Bueno-Carreño; Juan Jacobo Simón (IEEE Trans. Inf. Theory, 2016)

Reed-Muller Codes: Information Sets from Defining Sets. - José Joaquín Bernal; Juan Jacobo Simón (ICMCTA, 2017)

From ds-bounds for cyclic codes to true distance for abelian codes. - José Joaquín Bernal; Marinês Guerreiro; Juan Jacobo Simón (CoRR, 2017)

Information Sets From Defining Sets for Reed-Muller Codes of First and Second Order. - José Joaquín Bernal; Juan Jacobo Simón Pinero (IEEE Trans. Inf. Theory, 2018)

From ds-Bounds for Cyclic Codes to True Minimum Distance for Abelian Codes. - José Joaquín Bernal; Marinês Guerreiro; Juan Jacobo Simón (IEEE Trans. Inf. Theory, 2019)

Decoding up to 4 Errors in Hyperbolic-Like Abelian Codes by the Sakata Algorithm. - José Joaquín Bernal; Juan Jacobo Simón (WAIFI, 2020)

Constructions of Abelian Codes Multiplying Dimension of Cyclic Codes. - José Joaquín Bernal; Diana H. Bueno-Carreño; Juan Jacobo Simón (Math. Comput. Sci., 2020)

A New Approach to the Berlekamp-Massey-Sakata Algorithm: Improving Locator Decoding. - José Joaquín Bernal-Buitrago; Juan Jacobo Simón Pinero (IEEE Trans. Inf. Theory, 2021)

Hyperbolic Sets in Incomplete Tables. - José Joaquín Bernal; Juan Jacobo Simón (ITW, 2023)

New advances in permutation decoding of first-order Reed-Muller codes. - José Joaquín Bernal; Juan Jacobo Simón (Finite Fields Their Appl., 2023)

Generalized Reed-Muller Codes: A New Construction of Information Sets. - José Joaquín Bernal (ISIT, 2024)

A Note on the Theoretical Support to Compute Dimension in Abelian Codes. - José Joaquín Bernal; Juan Jacobo Simón (ISITA, 2024)