Fibre products of superelliptic curves and codes therefrom

Date

1997-01-01

Author

Stepanov, Serguei A.
Özbudak, Ferruh

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A method of constructing long geometric Goppa codes coming from fiber products of superelliptic curves is presented. A family of smooth projective curves with a lot of Fq-rational points are needed to produce a family of asymptotically good geometric Goppa codes. The genus in every such family is considerably less than the number of rational points, so the corresponding geometric Goppa codes have rather good parameters. Examples of such families are provided by modular curves, by Drinfeld modular curves, and by Artin-Schreier coverings of the projective line.

Subject Keywords

Algorithms, Decoding

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0030717369&origin=inward
https://hdl.handle.net/11511/85842

Conference Name

Proceedings of the 1997 IEEE International Symposium on Information Theory

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

S. A. Stepanov and F. Özbudak, “Fibre products of superelliptic curves and codes therefrom,” Ulm, Germany, 1997, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0030717369&origin=inward.