José Joaquín Bernal

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 23

Top Topics

Minimum Distance

Decoding Process

Top Venues

IEEE Trans. Inf. Theory

Des. Codes Cryptogr.

Math. Comput. Sci.

Publications

José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Cyclic and BCH Codes whose Minimum Distance Equals their Maximum BCH bound. CoRR (2024)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Apparent Distance and a Notion of BCH Multivariate Codes. CoRR (2024)
José Joaquín Bernal, Juan Jacobo Simón
Information sets from defining sets for Reed-Muller codes of first and second order. CoRR (2024)
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
An intrinsical description of group codes. CoRR (2024)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Constructions of Abelian Codes multiplying dimension of cyclic codes. CoRR (2024)
José Joaquín Bernal, Juan Jacobo Simón
A new approach to the Berlekamp-Massey-Sakata Algorithm. Improving Locator Decoding. CoRR (2024)
José Joaquín Bernal
Generalized Reed-Muller codes: A new construction of information sets. CoRR (2024)
José Joaquín Bernal, Juan Jacobo Simón
New advances in permutation decoding of first-order Reed-Muller codes. Finite Fields Their Appl. 88 (2023)
José Joaquín Bernal, Juan Jacobo Simón
Hyperbolic Sets in Incomplete Tables. ITW (2023)
José Joaquín Bernal, Juan Jacobo Simón
New advances in permutation decoding of first-order Reed-Muller codes. CoRR (2023)
José Joaquín Bernal, Juan Jacobo Simón
Decoding up to 4 errors in Hyperbolic-like Abelian Codes by the Sakata Algorithm. CoRR (2020)
José Joaquín Bernal, Juan Jacobo Simón
Decoding up to 4 Errors in Hyperbolic-Like Abelian Codes by the Sakata Algorithm. WAIFI (2020)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Constructions of Abelian Codes Multiplying Dimension of Cyclic Codes. Math. Comput. Sci. 14 (2) (2020)
José Joaquín Bernal, Marinês Guerreiro, Juan Jacobo Simón
From ds-Bounds for Cyclic Codes to True Minimum Distance for Abelian Codes. IEEE Trans. Inf. Theory 65 (3) (2019)
José Joaquín Bernal, Juan Jacobo Simón Pinero
Information Sets From Defining Sets for Reed-Muller Codes of First and Second Order. IEEE Trans. Inf. Theory 64 (10) (2018)
José Joaquín Bernal, Marinês Guerreiro, Juan Jacobo Simón
From ds-bounds for cyclic codes to true distance for abelian codes. CoRR (2017)
José Joaquín Bernal, Juan Jacobo Simón
Reed-Muller Codes: Information Sets from Defining Sets. ICMCTA (2017)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Cyclic and BCH codes whose minimum distance equals their maximum BCH bound. Adv. Math. Commun. 10 (2) (2016)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Apparent Distance and a Notion of BCH Multivariate Codes. IEEE Trans. Inf. Theory 62 (2) (2016)
José Joaquín Bernal, Juan Jacobo Simón, Marinês Guerreiro
Ds-bounds for cyclic codes: New bounds for abelian codes. ISITA (2016)
José Joaquín Bernal, Marinês Guerreiro, Juan Jacobo Simón
Ds-bounds for cyclic codes: new bounds for abelian codes. CoRR (2016)
José Joaquín Bernal, Joaquim Borges, Cristina Fernández-Córdoba, Mercè Villanueva
-linear codes. Des. Codes Cryptogr. 76 (2) (2015)
José Joaquín Bernal, Juan Jacobo Simón, Diana H. Bueno-Carreño
A notion of multivariate BCH bounds and codes. ACM Commun. Comput. Algebra 49 (1) (2015)
José Joaquín Bernal, Juan Jacobo Simón
Information sets in abelian codes: defining sets and Groebner basis. Des. Codes Cryptogr. 70 (1-2) (2014)
José Joaquín Bernal, Juan Jacobo Simón
Partial Permutation Decoding for Abelian Codes. IEEE Trans. Inf. Theory 59 (8) (2013)
José Joaquín Bernal, Diana H. Bueno-Carreño, Juan Jacobo Simón
Computing the Camion's multivariate BCH bound. ITW (2013)
José Joaquín Bernal, Joaquim Borges, Cristina Fernández-Córdoba, Mercè Villanueva
Permutation decoding of Z2Z4-linear codes CoRR (2013)
José Joaquín Bernal, Juan Jacobo Simón
Partial permutation decoding for abelian codes. ISIT (2012)
José Joaquín Bernal, Juan Jacobo Simón
Information sets from defining sets in abelian codes CoRR (2011)
José Joaquín Bernal, Juan Jacobo Simón
Information Sets From Defining Sets in Abelian Codes. IEEE Trans. Inf. Theory 57 (12) (2011)
José Joaquín Bernal, Juan Jacobo Simón
Information sets for abelian codes. ITW (2010)
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
There Are Not Non-obvious Cyclic Affine-invariant Codes. AAECC (2009)
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
Group code structures on affine-invariant codes CoRR (2009)
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
An intrinsical description of group codes. Des. Codes Cryptogr. 51 (3) (2009)
José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
How to Know if a Linear Code Is a Group Code?. ICMCTA (2008)