Paper ID | D2-S3-T2.2 |
Paper Title |
Decoding of Space-Symmetric Rank Errors |
Authors |
Thomas Jerkovits, German Aerospace Center (DLR), Germany; Vladimir Sidorenko, Antonia Wachter-Zeh, Technical University of Munich (TUM), Germany |
Session |
D2-S3-T2: Decoding of Algebraic Codes |
Chaired Session: |
Tuesday, 13 July, 22:40 - 23:00 |
Engagement Session: |
Tuesday, 13 July, 23:00 - 23:20 |
Abstract |
This paper investigates the decoding of certain Gabidulin codes 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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