Construction and decoding of matrix-product codes from nested codes

@article{Hernando2009ConstructionAD,
  title={Construction and decoding of matrix-product codes from nested codes},
  author={Fernando Hernando and Kristine Lally and Diego Ruano},
  journal={Applicable Algebra in Engineering, Communication and Computing},
  year={2009},
  volume={20},
  pages={497-507}
}
We consider matrix-product codes $${[C_1\cdots C_s] \cdot A}$$ , where $${C_1, \ldots , C_s}$$ are nested linear codes and matrix A has full rank. We compute their minimum distance and provide a decoding algorithm when A is a non-singular by columns matrix. The decoding algorithm decodes up to half of the minimum distance. 
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