Codes on fibre products of Artin-Schreier and Kummer coverings of the projective line

Date

2002-08

Editor(s)

Advisor

Stepanov, Serguei A.

Supervisor

Co-Advisor

Co-Supervisor

Instructor

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Abstract

In this thesis, we study smooth projective absolutely irreducible curves defined over finite fields by fibre products of Artin-Schreier and Kummer coverings of the projective line. We construct some curves with many rational points defined by the fibre products of Artin-Schreier and Kummer coverings. Then, we apply Goppa construction to the curves that we have found, and obtain long linear codes with good relative parameters.

Source Title

Publisher

Course

Other identifiers

Book Title

Degree Discipline

Mathematics

Degree Level

Doctoral

Degree Name

Ph.D. (Doctor of Philosophy)

Citation

Published Version (Please cite this version)

Language

English

Type