Geometric construction of some families of two-class and three-class association schemes and codes from nondegenerate and degenerate Hermitian varieties

DOI10.1016/0012-365X(93)90145-JzbMath0788.51010MaRDI QIDQ686449

I. M. Chakravarti

Publication date: 26 May 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

association schemescodesHermitian variety

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20)

Related Items (6)

Codes from Jacobian surfaces ⋮ Construction of rational surfaces yielding good codes ⋮ Intersection sets, three-character multisets and associated codes ⋮ Sums of residues on algebraic surfaces and application to coding theory ⋮ Geometric construction of some families of two-class and three-class association schemes from nondegenerate quadrics in characteristic two ⋮ Geometric construction of association schemes from non-degenerate quadrics

Cites Work

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• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• Some properties and applications of Hermitian varieties in a finite projective space PG(N,\(q^ 2\)) in the construction of strongly regular graphs (two-class association schemes) and block designs
• Weights of linear codes and strongly regular normed spaces
• On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
• The Geometry of Two-Weight Codes
• A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties
• Hermitian Varieties in a Finite Projective Space PG(N, q²)

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