3 papers
cs.IT2025
A Note on the Theoretical Support to Compute Dimension in Abelian Codes
J. J. Bernal, J. J. Simón
In this note we give a theoretical support by means of quotient polynomial rings for the computation formulas of the dimension of abelian codes.
cs.IT2025
Hyperbolic Sets in Incomplete Tables
J. J. Bernal, J. J. Simón
In this paper, we extend results about the implementation of the Berlekamp-Massey-Sakata algorithm on data tables having a number of unknown values.
cs.IT2025
Permutation decoding of first-order Generalized Reed-Muller codes
José JoaquÃn Bernal, Juan Jacobo Simón
In [4] we describe a variation of the classical permutation decoding algorithm that can be applied to any binary affine-invariant code; in particular, it can be applied to first-or…