Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep

DOI10.1006/jabr.2000.8713zbMath1012.11054OpenAlexW2067398651MaRDI QIDQ5938606

Wolfgang Lempken, Pham Hũ'u Tiêp, Bernd Schröder

Publication date: 9 July 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8713

zbMATH Keywords

\(t\)-designlower boundsBarnes-Wall latticefinite quasi-simple groupsminima of latticesspherical \(t\)-designsymmetric squaresThompson-Smith lattice

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) General block designs in finite geometry (51E05) Minima of forms (11H50) Relations with coding theory (11H71)

Related Items (11)

Unnamed Item ⋮ Extreme lattices and vexillar designs ⋮ Finite groups admitting Grassmannian 4-designs ⋮ On irreducible products of characters ⋮ Inhomogeneous extreme forms ⋮ Spherical designs and finite group representations (some results of E. Bannai). ⋮ Strongly perfect lattices sandwiched between Barnes–Wall lattices ⋮ Tight \(p\)-fusion frames ⋮ Absolute Fourth Moments and Finiteness of Linear Groups ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ Designs in Grassmannian spaces and lattices

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