Title :
Generalized weights and bounds for error probability over erasure channels
Author :
Cruvinel Lemes, Leandro ; Firer, M.
Author_Institution :
Dept. of Electr. Eng., Fed. Univ. of Triangulo Mineiro, Uberaba, Brazil
Abstract :
New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei´s generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows us to improve the existing bounds. Results concerning MDS and AMDS codes are deduced from those bounds.
Keywords :
error statistics; linear codes; erasure channels; error probability; generalized weights; linear code; lower bounds; upper bounds; Equations; Error probability; Kernel; Linear codes; Maximum likelihood decoding; Vectors;
Conference_Titel :
Information Theory and Applications Workshop (ITA), 2014
Conference_Location :
San Diego, CA
DOI :
10.1109/ITA.2014.6804237
