On the Cyclicity of Goppa Codes, Parity-
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Thierry P. Berger
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Article
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2000
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Elsevier Science
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English
β 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