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Further improvements on the Feng-Rao bound for dual codes.

Authors :
Geil, Olav
Martin, Stefano
Source :
Finite Fields & Their Applications. Nov2014, Vol. 30, p33-48. 16p.
Publication Year :
2014

Abstract

Salazar, Dunn and Graham in [16] presented an improved Feng-Rao bound for the minimum distance of dual codes. In this work we take the improvement a step further. Both the original bound by Salazar et al., as well as our improvement are lifted so that they deal with generalized Hamming weights. We also demonstrate the advantage of working with one-way well-behaving pairs rather than weakly well-behaving or well-behaving pairs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10715797
Volume :
30
Database :
Academic Search Index
Journal :
Finite Fields & Their Applications
Publication Type :
Academic Journal
Accession number :
97600939
Full Text :
https://doi.org/10.1016/j.ffa.2014.05.006