Algebraic decoding of the ternary \((37,18,11)\) quadratic residue code (Q496132)
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scientific article; zbMATH DE number 6483266
| Language | Label | Description | Also known as |
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| English | Algebraic decoding of the ternary \((37,18,11)\) quadratic residue code |
scientific article; zbMATH DE number 6483266 |
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Algebraic decoding of the ternary \((37,18,11)\) quadratic residue code (English)
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17 September 2015
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Summary: The algebraic decoding of binary quadratic residue codes can be performed using the Peterson or the Berlekamp-Massey algorithm once certain unknown syndromes are determined. In this work, the technique of determining unknown syndromes is extended to the ternary case to decode the expurgated ternary quadratic residue code of length 37.
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non-binary coding
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quadratic residue codes
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algebraic decoding
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