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Constructions and bounds for subspace codes

Published 22 Dec 2021 in cs.IT, math.CO, and math.IT | (2112.11766v2)

Abstract: Subspace codes are the $q$-analog of binary block codes in the Hamming metric. Here the codewords are vector spaces over a finite field. They have e.g. applications in random linear network coding, distributed storage, and cryptography. In this chapter we survey known constructions and upper bounds for subspace codes.

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