|| Decoding of Space-Symmetric Rank Errors
||Thomas Jerkovits, German Aerospace Center (DLR), Germany; Vladimir Sidorenko, Antonia Wachter-Zeh, Technical University of Munich (TUM), Germany|
||D2-S3-T2: Decoding of Algebraic Codes
||Tuesday, 13 July, 22:40 - 23:00
||Tuesday, 13 July, 23:00 - 23:20
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.