New ring-linear codes from dualization in projective Hjelmslev geometries

DOI10.1007/s10623-012-9650-1zbMath1280.94110OpenAlexW2012943612MaRDI QIDQ1934235

Johannes Zwanzger, Michael Kiermaier

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/s10623-012-9650-1

zbMATH Keywords

Galois ringhomogeneous weightring-linear codegray mapLee weightHjelmslev geometryKerdock code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (5)

An Algorithm for Constructing Hjelmslev Planes ⋮ New ring-linear codes from dualization in projective Hjelmslev geometries ⋮ An updated database of \(\mathbb{Z}_4\) codes and an open problem about quasi-cyclic codes ⋮ Distance colorings of hypercubes from \(\mathbb{Z}_2 \mathbb{Z}_4\)-linear codes ⋮ Three-weight codes over rings and strongly walk regular graphs

Uses Software

• Magma
• Code Tables

Cites Work

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