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Weierstrass Pairs and Minimum Distance of Goppa Codes

✍ Scribed by Gretchen L. Matthews


Book ID
110261780
Publisher
Springer
Year
2001
Tongue
English
Weight
138 KB
Volume
22
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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We derive new estimates for the error term in the binomial approximation to the distance distribution of extended Goppa codes. This is an improvement on the earlier bounds by Vladuts and Skorobogatov, and Levy and Litsyn.