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Anticodes in the sum-rank metric

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Publication:2120919
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DOI10.1016/j.laa.2022.02.012OpenAlexW3117590150MaRDI QIDQ2120919

Heide Gluesing-Luerssen, Alberto Ravagnani, Eimear Byrne

Publication date: 1 April 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13706

zbMATH Keywords

anticodesum-rank metricmatrix code


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Algebraic systems of matrices (15A30)


Related Items

Twisted linearized Reed-Solomon codes: a skew polynomial framework, The geometry of one-weight codes in the sum-rank metric, Codes in the Sum-Rank Metric: Fundamentals and Applications



Cites Work

  • Unnamed Item
  • Generalized weights: an anticode approach
  • The diametric theorem in Hamming spaces---optimal anticodes
  • Rank-metric codes, generalized binomial moments and their zeta functions
  • ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
  • Fundamental Properties of Sum-Rank-Metric Codes
  • Universal and Dynamic Locally Repairable Codes With Maximal Recoverability via Sum-Rank Codes
  • Reliable and Secure Multishot Network Coding Using Linearized Reed-Solomon Codes
  • Subspace codes from Ferrers diagrams
  • On perfect codes and related concepts
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