The nonexistence of certain tight spherical designs
From MaRDI portal
Publication:5313276
DOI10.1090/S1061-0022-05-00868-XzbMath1072.05017MaRDI QIDQ5313276
Eiichi Bannai, Akihiro Munemasa, Boris B. Venkov
Publication date: 26 August 2005
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Related Items (40)
On optimal tight 4-designs on 2 concentric spheres ⋮ Design theory from the viewpoint of algebraic combinatorics ⋮ On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball ⋮ Rationality of the inner products of spherical \(s\)-distance \(t\)-designs for \(t \geq 2s - 2\), \(s \geq 3\) ⋮ Construction of spherical cubature formulas using lattices ⋮ New Bounds for Spherical Two-Distance Sets ⋮ \(k\)-point semidefinite programming bounds for equiangular lines ⋮ Octonions and the two strictly projective tight 5-designs ⋮ Tight Gaussian 4-designs ⋮ On maximal relative projection constants ⋮ Optimal measures for \(p\)-frame energies on spheres ⋮ On the existence of tight relative 2-designs on binary Hamming association schemes ⋮ New Bounds for Equiangular Lines and Spherical Two-Distance Sets ⋮ On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds ⋮ Enumeration of Seidel matrices ⋮ Equiangular lines in Euclidean spaces ⋮ Equiangular tight frames with centroidal symmetry ⋮ Nonexistence of certain pseudogeometric graphs ⋮ Note on the tight relative 2-designs on \(H(n,2)\) ⋮ A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes ⋮ Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations ⋮ On the rigidity of spherical \(t\)-designs that are orbits of reflection groups \(E_8\) and \(H_4\) ⋮ On tight spherical designs ⋮ Half of an antipodal spherical design ⋮ Complex spherical codes with three inner products ⋮ Cubature formulas in numerical analysis and Euclidean tight designs ⋮ On a generalization of distance sets ⋮ Linear programming bounds for covering radius of spherical designs ⋮ New Upper Bounds for Equiangular Lines by Pillar Decomposition ⋮ On lattices whose minimal vectors form a 6-design ⋮ Extremal properties of spherical semidesigns ⋮ Spherical half-designs of high order ⋮ Automorphisms of a strongly regular graph with parameters \((1305, 440, 115, 165)\) ⋮ On the spectrum of Markov operators of spherical designs ⋮ Exact Semidefinite Programming Bounds for Packing Problems ⋮ Frames over finite fields: equiangular lines in orthogonal geometry ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ Universally optimal distribution of points on spheres ⋮ On Euclidean designs ⋮ Strongly regular graphs with the \(7\)-vertex condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey on spherical designs and algebraic combinatorics on spheres
- The square sieve and consecutive square-free numbers
- The regular two-graph on 276 vertices
- Spherical codes and designs
- Tight spherical designs. I
- Tight Spherical Disigns, II
- ON A PROBLEM IN ADDITIVE ARITHMETIC (II)
- Arithmetical Pattern Problems Relating to Divisibility by r th Powers*
- On the frequency of pairs of square-free numbers with a given difference
- The strongly perfect lattices of dimension 10
This page was built for publication: The nonexistence of certain tight spherical designs
