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arxiv: 0902.1729 · v4 · submitted 2009-02-10 · 🧮 math.NT · math.AG

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On the Dimension of AG Trace Codes

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classification 🧮 math.NT math.AG
keywords codesdimensiontraceq-aryalgebraic-geometricassociatedconditionsderive
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We shall derive conditions in which a general formula for the dimension of q-ary trace codes induced by algebraic-geometric codes. Significant to this result are several dimension reducing methods for the underlying functions spaces associated to q-ary trace codes.

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