Algebraic-geometry codes, one-point codes, and evaluation codes (Q2384021)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic-geometry codes, one-point codes, and evaluation codes |
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Algebraic-geometry codes, one-point codes, and evaluation codes (English)
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20 September 2007
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One-point codes are those algebraic-geometry codes for which the associated divisor is a non-negative multiple of a single point, whereas evaluation codes are essentially involved in a generalization of both one-point codes and Reed-Muller codes. The author proves that every sequence of evaluation codes is a sequence of one-point codes under certain hypotheses. A criterion for algebraic-geometry codes to be one-point codes is also provided.
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codes
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cryptography
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algebraic geometry
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