Quadratic function fields and codes (Q1179332)

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scientific article; zbMATH DE number 24299
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Quadratic function fields and codes
scientific article; zbMATH DE number 24299

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    Quadratic function fields and codes (English)
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    26 June 1992
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    The author gives an arithmetic necessary and sufficient condition for an hyperelliptic code (that is, a geometric code constructed on hyperelliptic curves by Goppa's procedure) to have as minimum distance the designed one by Goppa's theorem.
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    quadratic function fields
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    hyperelliptic code
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    geometric code
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    hyperelliptic curves
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    Goppa's procedure
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    minimum distance
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