5 papers
Decoding Algorithms for MDS Array Codes
Sara D. Cardell, Gustavo Terra Bastos, Cintya Wink de Oliveira Benedito
We study decoding procedures for a family of MDS array codes previously constructed from the Kronecker product of a superregular matrix and a non-singular matrix over a finite fiel…
Construction of Generalized Weighing-Hadamard Matrices over Finite Fields
Gustavo T. Bastos, Miguel Beltrá, Sara D. Cardell +1
The existence, several properties, and constructions of Generalized Weighing-Hadamard (GWH) matrices over finite fields are addressed in this work. We study the subset of invertibl…
New results on linear permutation polynomials with coefficients in a subfield
Elías Javier García Claro, Gustavo Terra Bastos
Some families of linear permutation polynomials of with coefficients in are explicitly described (via conditions on their coefficients) a…
Linear Permutations and their Compositional Inverses over
Gustavo Terra Bastos
The use of permutation polynomials has appeared, along to their compositional inverses, as a good choice in the implementation of cryptographic systems. Hence, there has been a dem…
Abelian Noncyclic Orbit Codes and Multishot Subspace Codes
Gustavo Terra Bastos, Reginaldo Palazzo Júnior, Marinês Guerreiro
In this paper we characterize the orbit codes as geometrically uniform codes. This characterization is based on the description of all isometries over a projective geometry. In add…