4 papers · 1 filter
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…
Weight Distributions of Single Parity-Check Product Codes via Character Sums
Makson Miller Alves Ribeiro, Sara D. Cardell
We investigate structural and enumerative properties of binary single parity-check product codes. For each , denotes the binary single parity-check…
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…
Binomial sequences over prime fields
Miguel Beltrá, Sara D. Cardell, Verónica Requena
The binary binomial sequences correspond to the diagonals of the Pascal's triangle modulo 2. They have interesting properties such as they form a basis of the linear space of all b…