Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order \(p^2\)

DOI10.1007/s10623-022-01131-2OpenAlexW4307102607WikidataQ114849591 ScholiaQ114849591MaRDI QIDQ2692958

Geertrui Van de Voorde, Maarten De Boeck

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2203.16129

zbMATH Keywords

projective planeminimum weightantipodal plane(dual) code of projective plane

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Incidence structures embeddable into projective geometries (51A45)

Related Items (1)

A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type

Cites Work

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• On a class of partial planes related to biplanes
• An upper bound for the p-rank of a translation plane
• A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49
• The \(\mathbb{F}_p\) span of the incidence matrix of a finite projective plane
• Projective geometric codes
• On the non-existence of a class of configurations which are nearly generalized n-gons
• Dual codes of projective planes of order 25
• Ternary dual codes of the planes of order nine

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