Minimal solutions of the isometry equation

DOI10.1016/J.DISC.2018.07.023zbMath1395.05033OpenAlexW2887649350MaRDI QIDQ1783611

Serhii Dyshko

Publication date: 21 September 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.07.023

zbMATH Keywords

vector space partitionnull \(t\)-designisometry equationsubspace bitradevector space covering

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Vector spaces, linear dependence, rank, lineability (15A03) Combinatorial aspects of packing and covering (05B40)

Cites Work

• Unnamed Item
• On extendability of additive code isometries
• MacWilliams extension theorem for MDS codes over a vector space alphabet
• To the theory of \(q\)-ary Steiner and other-type trades
• Geometric approach to the MacWilliams extension theorem for codes over module alphabets
• Minimal null designs of subspace lattices over finite fields
• The minimum volume of subspace trades
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• On the representation of vector spaces as a finite union of subspaces

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