On the decoding of binary cyclic codes with the Newton identities (Q733502)
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scientific article; zbMATH DE number 5616448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the decoding of binary cyclic codes with the Newton identities |
scientific article; zbMATH DE number 5616448 |
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On the decoding of binary cyclic codes with the Newton identities (English)
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16 October 2009
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The authors look at decoding binary cyclic codes with Gröbner bases. They study, in particular, properties defined by Newton identities for decoding binary cyclic codes. In a two-step process involving varieties and Gröbner bases, they provide an efficient practical procedure. They conclude with some computational results for codes of length approximately one hundred.
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cyclic codes
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quadratic residue codes
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elimination theory
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Gröbner basis
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\(F4\) algorithm
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