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Linear MSRD codes with Various Matrix Sizes and Unrestricted Lengths (2206.02330v3)
Published 6 Jun 2022 in cs.IT and math.IT
Abstract: A sum-rank-metric code attaining the Singleton bound is called maximum sum-rank distance (MSRD). MSRD codes have been constructed for some parameter cases. In this paper we construct a linear MSRD code over an arbitrary field ${\bf F}q$ with various matrix sizes $n_1>n_2>\cdots>n_t$ satisfying $n_i \geq n{i+1}2+\cdots+n_t2$ for $i=1, 2, \ldots, t-1$ for any given minimum sum-rank distance.
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