Association schemes related to Delsarte-Goethals codes

DOI10.1007/s10801-014-0499-4zbMath1362.05139arXiv1212.0347OpenAlexW3102773824MaRDI QIDQ478360

Sihuang Hu, Gennian Ge, Tao Feng

Publication date: 3 December 2014

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0347

zbMATH Keywords

association schemesquaternary codesGray mapDelsarte-Goethals codes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial codes (94B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes
• Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets
• Certain distance-regular digraphs and related rings of characteristic 4
• Subschemes of some association schemes
• An Assmus-Mattson-type approach for identifying 3-designs from linear codes over \(\mathbb{Z}_4\)
• Experimental Study of Energy-Minimizing Point Configurations on Spheres
• New 5-designs constructed from the lifted Golay code over ?4
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Translates of linear codes over Z/sub 4/
• Codes with the same coset weight distributions as the Z/sub 4/-linear Goethals codes
• On coset weight distributions of the Z/sub 4/-linear Goethals codes
• NEGATIVE LATIN SQUARE TYPE PARTIAL DIFFERENCE SETS IN NONELEMENTARY ABELIAN 2-GROUPS
• The algebraic decoding of the Z/sub 4/-linear Goethals code
• Large families of quaternary sequences with low correlation
• New distance regular graphs arising from dimensional dual hyperovals
• Bijections between group rings preserving character sums

This page was built for publication: Association schemes related to Delsarte-Goethals codes