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arXiv · 1406.0053

Fast K\"otter-Nielsen-H{\o}holdt Interpolation in the Guruswami-Sudan Algorithm

Johan S. R. Nielsen
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Abstract

The K\"otter-Nielsen-H{\o}holdt algorithm is a popular way to construct the bivariate interpolation polynomial in the Guruswami-Sudan decoding algorithm for Reed-Solomon codes. In this paper, we show how one can use Divide & Conquer techniques to provide an asymptotic speed-up of the algorithm, rendering its complexity quasi-linear in n. Several of our observations can also provide a practical speed-up to the classical version of the algorithm.

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Johan S. R. Nielsen. 2014-05-31. Fast K\"otter-Nielsen-H{\o}holdt Interpolation in the Guruswami-Sudan Algorithm. https://arxiv.org/abs/1406.0053

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