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arXiv · 2206.02330

Linear MSRD codes with Various Matrix Sizes and Unrestricted Lengths

Hao Chen
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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 $n_i \geq n_{i+1}^2+\cdots+n_t^2$ for $i=1, 2, \ldots, t-1$ for any given minimum sum-rank distance.

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Hao Chen. 2022-06-14. Linear MSRD codes with Various Matrix Sizes and Unrestricted Lengths. https://arxiv.org/abs/2206.02330

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