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Weight distributions of linear codes and the Gleason-Pierce theorem

✍ Scribed by George T Kennedy

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
826 KB
Volume
67
Category
Article
ISSN
0097-3165

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Small weight codewords in the LDPC codes
Small weight codewords in the LDPC codes arising from linear representations of geometries
✍ V. Pepe; L. Storme; G. Van de Voorde πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 242 KB

## Abstract In this article, we investigate the minimum distance and small weight codewords of the LDPC codes of linear representations, using only geometrical methods. First, we present a new lower bound on the minimum distance and we present a number of cases in which this lower bound is sharp. T