Projective codes which satisfy the chain condition (Q1588763)
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scientific article; zbMATH DE number 1540365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective codes which satisfy the chain condition |
scientific article; zbMATH DE number 1540365 |
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Projective codes which satisfy the chain condition (English)
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4 December 2000
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Binary linear codes with length at most one above the Griesmer bound were shown to satisfy the chain condition by \textit{T. Helleseth}, \textit{T. Kløve} and \textit{Ø. Utrehus} [IEEE Trans. Inf. Theory 38, 1133-1140 (1992; Zbl 0749.94012)]. Some conditions are studied under which codes with length two above the Griesmer bound satisfy the chain condition. Necessary and sufficient conditions for a binary linear code to satisfy the two-way chain condition are given. These results are applied in the study of some two-weight codes and some codes derived from the extended Golay code.
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binary linear codes
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two-way chain condition
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two-weight codes
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