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
New Bounds on the Distance Distribution of Extended Goppa Codes
β Scribed by Simon Litsyn; Sarit Zur
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 169 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1071-5797
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β¦ Synopsis
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.
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