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Johnson type bounds for mixed dimension subspace codes

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arxiv 1808.03580 v3 pith:QSC2G2YR submitted 2018-08-10 math.CO

classification math.CO
keywords codesboundsdimensionjohnsonsubspaceappliedboundcardinalities
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abstract

Subspace codes, i.e., sets of subspaces of $\mathbb{F}_q^v$, are applied in random linear network coding. Here we give improved upper bounds for their cardinalities based on the Johnson bound for constant dimension codes.

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