On the dimension of algebraic-geometric trace codes (Q515415)
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scientific article; zbMATH DE number 6695445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dimension of algebraic-geometric trace codes |
scientific article; zbMATH DE number 6695445 |
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On the dimension of algebraic-geometric trace codes (English)
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16 March 2017
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Summary: We study trace codes induced from codes defined by an algebraic curve \(X\). We determine conditions on \(X\) which admit a formula for the dimension of such a trace code. Central to our work are several dimension reducing methods for the underlying functions spaces associated to \(X\).
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error correcting codes
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trace codes
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exponential sums
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number theory
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