New quasi-cyclic codes from finite upper half-planes (Q2024766)
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scientific article; zbMATH DE number 7343544
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New quasi-cyclic codes from finite upper half-planes |
scientific article; zbMATH DE number 7343544 |
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New quasi-cyclic codes from finite upper half-planes (English)
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4 May 2021
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Summary: Finite upper half-planes can be seen as a natural environment to generate error-correcting codes. Current work analyses some properties of these spaces to generate new classes of quasi-cyclic error-correcting codes. These codes may be generated using the norm or the distance in these spaces. Using properties of the sets, we also propose a decoding algorithm.
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error-correcting codes
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quasi-cyclic codes
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upper half-planes
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finite fields
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decoding
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