Non-free extensions of the simplex codes over a chain ring with four elements

DOI10.1007/s10623-012-9649-7zbMath1259.94070OpenAlexW2059464650MaRDI QIDQ1934231

Thomas Honold, Ivan N. Landgev

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9649-7

zbMATH Keywords

hyperovalGray mapLee weightchain ringsimplex codeprojective Hjelmslev spaceHjelmslev plane\(R\)-linear code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Blocking sets, ovals, (k)-arcs (51E21) Other finite linear geometries (51E26) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (1)

An Algorithm for Constructing Hjelmslev Planes

Uses Software

• Code Tables

Cites Work

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