The parameters of subcodes of algebraic-geometric codes over prime subfields

The parameters of subcodes of algebraic-geometric codes over prime subfields

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Article ID: iaor19921458
Country: Netherlands
Volume: 33
Issue: 1/3
Start Page Number: 205
End Page Number: 215
Publication Date: Nov 1991
Journal: Discrete Applied Mathematics
Authors:
Abstract:

This paper proposes a uniform approach to BCH codes, Goppa codes, and subfield subcodes of algebraic geometric codes on curves of arbitrary genus, based on exponential sums along a curve. In this way it generalizes some classical and recent results on the dimension, the minimum distance, the covering radius, and the spectrum of long BCH codes.

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