TY - GEN
T1 - Decoding of Space-Symmetric Rank Errors
AU - Jerkovits, Thomas
AU - Sidorenko, Vladimir
AU - Wachter-Zeh, Antonia
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021/7/12
Y1 - 2021/7/12
N2 - 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.
AB - 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.
KW - Gabidulin codes
KW - rank metric
KW - space-symmetric
UR - http://www.scopus.com/inward/record.url?scp=85115115719&partnerID=8YFLogxK
U2 - 10.1109/ISIT45174.2021.9518115
DO - 10.1109/ISIT45174.2021.9518115
M3 - Conference contribution
AN - SCOPUS:85115115719
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 658
EP - 663
BT - 2021 IEEE International Symposium on Information Theory, ISIT 2021 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 IEEE International Symposium on Information Theory, ISIT 2021
Y2 - 12 July 2021 through 20 July 2021
ER -