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arXiv · 1703.07982

Improved Power Decoding of One-Point Hermitian Codes

Sven Puchinger·Irene Bouw·Johan Rosenkilde né Nielsen
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Abstract

We propose a new partial decoding algorithm for one-point Hermitian codes that can decode up to the same number of errors as the Guruswami--Sudan decoder. Simulations suggest that it has a similar failure probability as the latter one. The algorithm is based on a recent generalization of the power decoding algorithm for Reed--Solomon codes and does not require an expensive root-finding step. In addition, it promises improvements for decoding interleaved Hermitian codes.

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Sven Puchinger, Irene Bouw, Johan Rosenkilde né Nielsen. 2017-03-23. Improved Power Decoding of One-Point Hermitian Codes. https://arxiv.org/abs/1703.07982

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