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New binary codes from extended Goppa codes

✍ Scribed by Tomlinson, M.; Jibril, M.; Tjhai, C.; Grassl, M.; Ahmed, M. Z.


Book ID
118152618
Publisher
Springer
Year
2012
Tongue
English
Weight
169 KB
Volume
70
Category
Article
ISSN
0925-1022

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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

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