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New MDS self-dual codes from GRS codes and extended GRS codes - MaRDI portal

New MDS self-dual codes from GRS codes and extended GRS codes (Q6156929)

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scientific article; zbMATH DE number 7697487
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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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