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A new subclass of cyclic Goppa codes

โœ Scribed by Bezzateev, S. V.; Shekhunova, N. A.


Book ID
121566399
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
338 KB
Volume
49
Category
Article
ISSN
0032-9460

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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