DocumentCode
639946
Title
Rank metric and Gabidulin codes in characteristic zero
Author
Augot, Daniel ; Loidreau, Pierre ; Robert, Grepl
Author_Institution
INRIA Saclay-Ile-de-France, Ecole Polytech., Palaiseau, France
fYear
2013
fDate
7-12 July 2013
Firstpage
509
Lastpage
513
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
Galois fields; codes; decoding; polynomials; Frobenius automorphism; Gabidulin code; Galois group; characteristic zero field; polynomial-time decoding algorithm; rank metric code; Complexity theory; Decoding; Encoding; Measurement; Polynomials; Space-time codes; Gabidulin codes; Ore rings; Space-time coding; algebraic decoding; number fields; rank metric; skew polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location
Istanbul
ISSN
2157-8095
Type
conf
DOI
10.1109/ISIT.2013.6620278
Filename
6620278
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