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arXiv · 2102.02554

Decoding of Space-Symmetric Rank Errors

Thomas Jerkovits·Vladimir Sidorenko·Antonia Wachter-Zeh
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Abstract

This paper investigates the decoding of certain Gabidulin codes that were transmitted over a channel with space-symmetric errors. Space-symmetric errors are additive error matrices that have the property that their column and row spaces are equal. We show that for channels restricted to space-symmetric errors, with high probability errors of rank up to 2(n-k)/3 can be decoded with a Gabidulin code of length n and dimension k, using a weak-self orthogonal basis as code locators.

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Thomas Jerkovits, Vladimir Sidorenko, Antonia Wachter-Zeh. 2021-02-04. Decoding of Space-Symmetric Rank Errors. https://arxiv.org/abs/2102.02554

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