scientific article; zbMATH DE number 5182595

zbMath1121.11046MaRDI QIDQ5757077

Masao Koike, Masashi Shinohara, Eiichi Bannai, Makoto Tagami

Publication date: 24 August 2007

Full work available at URL: http://www.ams.org/distribution/mmj/vol6-2-2006/bannai-etal.pdf

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zbMATH Keywords

spherical designAssmus-Mattson theoremLehmer conjectureextremal unimodular lattice

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Designs and configurations (05B99)

Related Items (9)

An upper bound of the value of \(t\) of the support \(t\)-designs of extremal binary doubly even self-dual codes ⋮ A note on Assmus-Mattson type theorems ⋮ A note on the Assmus-Mattson theorem for some binary codes ⋮ Harmonic Tutte polynomials of matroids ⋮ A note on the Assmus-Mattson theorem for some binary codes. II ⋮ An Assmus-Mattson theorem for codes over commutative association schemes ⋮ On the support designs of extremal binary doubly even self-dual codes ⋮ Toy models for D. H. Lehmer's conjecture ⋮ A survey on spherical designs and algebraic combinatorics on spheres

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