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Goppa geometric codes achieving the Gilbert-Varshamov bound

โœ Scribed by Chaoping Xing


Book ID
114638551
Publisher
IEEE
Year
2005
Tongue
English
Weight
191 KB
Volume
51
Category
Article
ISSN
0018-9448

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๐Ÿ“œ SIMILAR VOLUMES


Strengthening the Gilbertโ€“Varshamov boun
โœ Alexander Barg; Sugi Guritman; Juriaan Simonis ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 86 KB

The paper discusses some ways to strengthen (nonasymptotically) the Gilbert-Varshamov bound for linear codes. The unifying idea is to study a certain graph constructed on vectors of low weight in the cosets of the code, which we call the Varshamov graph. Various simple estimates of the number of its