Multi-trial Guruswami-Sudan decoding for generalised Reed-Solomon codes

作者：Nielsen Johan S R^*; Zeh Alexander

来源：Designs, Codes and Cryptography, 2014, 73(2): 507-527.

DOI：10.1007/s10623-014-9951-7

• Guruswami-Sudan
• List decoding
• Multi-trial
• Reed-Solomon codes
• Re-encoding transformation

An iterated refinement procedure for the Guruswami-Sudan list decoding algorithm for Generalised Reed-Solomon codes based on Alekhnovich%26apos;s module minimisation is proposed. The method is parametrisable and allows variants of the usual list decoding approach. In particular, finding the list of closest codewords within an intermediate radius can be performed with improved average-case complexity while retaining the worst-case complexity. We provide a detailed description of the module minimisation, reanalysing the Mulders-Storjohann algorithm and drawing new connections to both Alekhnovich%26apos;s algorithm and Lee-O%26apos;Sullivan%26apos;s. Furthermore, we show how to incorporate the re-encoding technique of Kotter and Vardy into our iterative algorithm.

• 出版日期2014-11
• 单位INRIA