New MDS self-dual codes from GRS codes and extended GRS codes (Q6156929)
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scientific article; zbMATH DE number 7697487
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New MDS self-dual codes from GRS codes and extended GRS codes |
scientific article; zbMATH DE number 7697487 |
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New MDS self-dual codes from GRS codes and extended GRS codes (English)
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19 June 2023
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The article under review focuses on MDS self-dual linear codes, which are codes whose parameters satisfy the Singleton bound, and their dual codes are identical to the codes themselves. Therefore, their parameters are \([n, n/2, n/2 + 1]\). The article includes a useful table detailing the parameters of known MDS self-dual codes along with their references. Then, the authors construct new MDS self-dual codes using generalized Reed-Solomon codes and extended generalized Reed-Solomon codes.
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MDS code
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self-dual code
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generalized Reed-Solomon code
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extended generalized Reed-Solomon code
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