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Theory of supports for linear codes endowed with the sum-rank metric
[article]
2019
arXiv
pre-print
The sum-rank metric naturally extends both the Hamming and rank metrics in coding theory over fields. It measures the error-correcting capability of codes in multishot matrix-multiplicative channels (e.g. linear network coding or the discrete memoryless channel on fields). Although this metric has already shown to be of interest in several applications, not much is known about it. In this work, sum-rank supports for codewords and linear codes are introduced and studied, with emphasis on
arXiv:1808.02468v2
fatcat:lvyrfu2llffyleabgumzjcyxoa