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cs.IT2026
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…
cs.IT2026
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…
cs.IT2026
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…