Sub-Quadratic Decoding of Gabidulin Codes
Information Theory
2016-04-14 v2 math.IT
Abstract
This paper shows how to decode errors and erasures with Gabidulin codes in sub-quadratic time in the code length, improving previous algorithms which had at least quadratic complexity. The complexity reduction is achieved by accelerating operations on linearized polynomials. In particular, we present fast algorithms for division, multi-point evaluation and interpolation of linearized polynomials and show how to efficiently compute minimal subspace polynomials.
Cite
@article{arxiv.1601.06280,
title = {Sub-Quadratic Decoding of Gabidulin Codes},
author = {Sven Puchinger and Antonia Wachter-Zeh},
journal= {arXiv preprint arXiv:1601.06280},
year = {2016}
}
Comments
5 pages, accepted at IEEE International Symposium on Information Theory 2016