Covering Radius of Matrix Codes Endowed with the Rank Metric
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Publication:5346567
DOI10.1137/16M1091769zbMath1395.94374arXiv1608.08755MaRDI QIDQ5346567
Eimear Byrne, Alberto Ravagnani
Publication date: 24 May 2017
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.08755
Other types of codes (94B60) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)
Related Items (13)
Rank metric codes and zeta functions ⋮ Rank-metric codes and \(q\)-polymatroids ⋮ Saturating systems and the rank-metric covering radius ⋮ Saturating linear sets of minimal rank ⋮ Tensor Representation of Rank-Metric Codes ⋮ Scattered subspaces and related codes ⋮ Partition-balanced families of codes and asymptotic enumeration in coding theory ⋮ Puncturing maximum rank distance codes ⋮ An Assmus--Mattson Theorem for Rank Metric Codes ⋮ Rank-Metric Codes Over Arbitrary Galois Extensions and Rank Analogues of Reed--Muller Codes ⋮ Theory of supports for linear codes endowed with the sum-rank metric ⋮ \(q\)-polymatroids and their relation to rank-metric codes ⋮ Rank-Metric Codes and Their Applications
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