The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic

DOI10.1007/s10623-012-9653-yzbMath1264.05023OpenAlexW1999055900MaRDI QIDQ1951221

Michael Kiermaier, Thomas Honold

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9653-y

zbMATH Keywords

arcprojective Hjelmslev planeGalois ringDembowski-Ostrom polynomialquadratic mapHjelmslev geometrymaximal finite chain ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Other finite linear geometries (51E26) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (2)

An Algorithm for Constructing Hjelmslev Planes ⋮ Non-free extensions of the simplex codes over a chain ring with four elements

Uses Software

• Magma
• Code Tables

Cites Work

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