@inproceedings{6ae938d4536342b0ad79f9899ab59a97,
title = "Rank metric and Gabidulin codes in characteristic zero",
abstract = "We transpose the theory of rank metric and Gabidulin codes to the case of fields of characteristic zero. The Frobenius automorphism is then replaced by any element of the Galois group. We derive some conditions on the automorphism to be able to easily transpose the results obtained by Gabidulin as well and a classical polynomial-time decoding algorithm. We also provide various definitions for the rank-metric.",
keywords = "Gabidulin codes, Ore rings, Space-time coding, algebraic decoding, number fields, rank metric, skew polynomials",
author = "Daniel Augot and Pierre Loidreau and Gwezheneg Robert",
year = "2013",
month = dec,
day = "19",
doi = "10.1109/ISIT.2013.6620278",
language = "English",
isbn = "9781479904464",
series = "IEEE International Symposium on Information Theory - Proceedings",
pages = "509--513",
booktitle = "2013 IEEE International Symposium on Information Theory, ISIT 2013",
note = "2013 IEEE International Symposium on Information Theory, ISIT 2013 ; Conference date: 07-07-2013 Through 12-07-2013",
}