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On the weight hierarchy of geometric Goppa codes

โœ Scribed by Kyeongcheol Yang; Kumar, P.V.; Stichtenoth, H.


Book ID
114540055
Publisher
IEEE
Year
1994
Tongue
English
Weight
799 KB
Volume
40
Category
Article
ISSN
0018-9448

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On the Cyclicity of Goppa Codes, Parity-
โœ Thierry P. Berger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic