Optimal four-dimensional codes over \(\text{GF}(8)\) (Q2500962)
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| Language | Label | Description | Also known as |
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| English | Optimal four-dimensional codes over \(\text{GF}(8)\) |
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Optimal four-dimensional codes over \(\text{GF}(8)\) (English)
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30 August 2006
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Summary: We prove the nonexistence of several four-dimensional codes over \(\text{GF}(8)\) that meet the Griesmer bound. The proofs use geometric methods based on the analysis of the weight structure of subcodes. The specific parameters of the codes ruled out are: \([111,4,96]\), \([110,4,95]\), \([102,4,88]\), \([101,4,87]\), \([93,4,80]\), and the sequence \([29-j,4,24-j]\), for \(j=0,1,2\).
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