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Convolutional Goppa codes

✍ Scribed by Porras, J.M.M.; Perez, J.A.D.; Curto, J.I.I.; Sotelo, G.S.

Book ID: 114639040
Publisher: IEEE
Year: 2006
Tongue: English
Weight: 207 KB
Volume: 52
Category: Article
ISSN: 0018-9448
DOI: 10.1109/tit.2005.860447

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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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## Ii einer grundlegenden Arbeit [3] hat V. D. GOPPA mit Methoden aus der Theorie der algebraischen Kurven uber endlichen Korpern die nach ihm benannten Codes konstruiert. Diese Codes sind urn so besser, je mehr rationale Punkte die Kurve im Vergleich zu ihrem Geschlecht hat. &lit tiefliegenden Me

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