Linear binary codes with intersection properties (Q800294)
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scientific article; zbMATH DE number 3877078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear binary codes with intersection properties |
scientific article; zbMATH DE number 3877078 |
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Linear binary codes with intersection properties (English)
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1984
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Let p(n,d) (resp. q(n,d)) be the maximal dimension of a binary linear code of length n such that any two distinct nonzero codewords agree in at least (resp. at most) d nonzero positions. It is proved that \(q(n,d)=\min\{n,d+1\}.\) Some bounds for p(n,d) are established, and constructions of related codes are given as well.
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binary linear code
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