On the decoding of quasi-BCH codes
  In this paper we investigate the structure of quasi-BCH codes. In the first part of this paper we show that quasi-BCH codes can be derived from Reed-Solomon codes over square matrices extending the known relation about classical BCH and Reed-Solomon codes. This allows us to adapt the Welch-Berlekamp algorithm to quasi-BCH codes. In the second part of this paper we show that quasi-BCH codes can be seen as subcodes of interleaved Reed-Solomon codes over finite fields. This provides another approach for decoding quasi-BCH codes. 
Morgan Barbier (GREYC), Cl\'ement Pernet (INRIA Grenoble Rh\^one-Alpes   / LIG Laboratoire d'Informatique de Grenoble), Guil...
cs.IT math.IT