On the Joint Error-and-Erasure Decoding for Irreducible Polynomial Remainder Codes

Jiun-Hung Yu

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arXiv · 1202.5413

On the Joint Error-and-Erasure Decoding for Irreducible Polynomial Remainder Codes

Jiun-Hung Yu

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Abstract

A general class of polynomial remainder codes is considered. Such codes are very flexible in rate and length and include Reed-Solomon codes as a special case. As an extension of previous work, two joint error-and-erasure decoding approaches are proposed. In particular, both the decoding approaches by means of a fixed transform are treated in a way compatible with the error-only decoding. In the end, a collection of gcd-based decoding algorithm is obtained, some of which appear to be new even when specialized to Reed-Solomon codes.

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Jiun-Hung Yu. 2012-02-24. On the Joint Error-and-Erasure Decoding for Irreducible Polynomial Remainder Codes. https://arxiv.org/abs/1202.5413

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