Linear codes and the existence of a reversible Hadamard difference set in \(\mathbb{Z}_ 2\times \mathbb{Z}_ 2\times \mathbb{Z}_ 5^ 4\)

DOI10.1006/jcta.1997.2759zbMath0883.05024OpenAlexW2000887109MaRDI QIDQ1369688

Vladimir D. Tonchev, Marijn van Eupen

Publication date: 25 November 1997

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1997.2759

zbMATH Keywords

linear codesdifference set

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (7)

A unifying construction for difference sets ⋮ On the non-existence of a projective (75, 4, 12, 5) set in PG(3, 7) ⋮ A new method for constructing Williamson matrices ⋮ Strongly regular graphs with parameters \((4m^{4},2m^{4}+m^{2},m^{4}+m^{2},m^{4}+m^{2})\) exist for all \(m>1\) ⋮ Quantum codes from caps ⋮ Generalized constructions of Menon-Hadamard difference sets ⋮ Divisibility of codes meeting the Griesmer bound

Cites Work

• Sub-difference sets of Hadamard difference sets
• A special class of Williamson matrices and difference sets
• Some infinite classes of special Williamson matrices and difference sets
• Non-abelian Hadamard difference sets
• The Geometry of Two-Weight Codes
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