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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.

preprint2012arXivOpen access
Morgan BarbierClément PernetGuillaume Quintin
math.ITInformation Theory
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Morgan BarbierClément PernetGuillaume Quintin

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