A characterisation result on a particular class of non-weighted minihypers

DOI10.1007/S10623-011-9542-9zbMath1237.05030OpenAlexW2076149884MaRDI QIDQ766237

Jan De Beule, Anja Hallez, Storme, L.

Publication date: 23 March 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/2140291

zbMATH Keywords

Griesmer boundblocking setsminihypers

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• Characterization results on weighted minihypers and on linear codes meeting the Griesmer bound
• Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound
• A \(t\pmod p\) result on weighted multiple \((n-k)\)-blocking sets in \(\mathrm{PG}(n,q)\)
• On a geometrical method of construction of maximal t-linearly independent sets
• Minihypers and linear codes meeting the Griesmer bound: Improvements to results of Hamada, Helleseth and Maekawa
• Multiple blocking sets in \(\text{PG}(n,q)\), \(n \geq 3\)
• A classification result on weighted \(\{\delta v_{\mu +1},\delta v_{\mu};N,p^{3}\}\)-minihypers
• Lacunary Polynomials, Multiple Blocking Sets and Baer Subplanes
• Multiple Blocking Sets and Arcs in Finite Planes
• A characterization of multiple (n – k)-blocking sets in projective spaces of square order

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