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

Date
2002-08
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Stepanov, Serguei A.
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Bilkent University
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English
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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.

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