Good random matrices over finite fields

DOI10.3934/AMC.2012.6.203zbMath1278.94076arXiv1008.3408OpenAlexW1984049650MaRDI QIDQ444522

Thomas Honold, Sheng-Tian Yang

Publication date: 14 August 2012

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3408

zbMATH Keywords

linear coderandom matrixblocking sethomogeneous weightaffine geometry of matricesdense set of matricesintersecting codemaximum-rank-distance codeMRD code

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Linear codes (general theory) (94B05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Blocking sets, ovals, (k)-arcs (51E21) Random matrices (algebraic aspects) (15B52)

Related Items (3)

The homogeneous weight partition and its character-theoretic dual ⋮ Algebraic structures of MRD codes ⋮ Weight distribution of rank-metric codes

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