Constructions and bounds for mixed-dimension subspace codes

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Constructions and bounds for mixed-dimension subspace codes

Codes in finite projective spaces equipped with the subspace distance have been proposed for error control in random linear network coding. The resulting so-called Main Problem of Subspace Coding is to determine the maximum size Aq(v, d) of a code in PG(v−1,Fq) with minimum subspace distance d. Here we completely resolve this problem for d ≥ v − 1. For d = v − 2 we present some improved bounds ...

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ژورنال

عنوان ژورنال: Advances in Mathematics of Communications

سال: 2016

ISSN: 1930-5346

DOI: 10.3934/amc.2016033