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On even unimodular extremal lattices

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Publication:1066934
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zbMath0579.10007MaRDI QIDQ1066934

Boris B. Venkov

Publication date: 1985

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

unimodular latticeextremal latticespherical 11-block designsspherical block-schemeZFM 179, 29


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11)


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Design theory from the viewpoint of algebraic combinatorics, Design-theoretic analogies between codes, lattices, and vertex operator algebras, A note on Assmus-Mattson type theorems, A note on the Assmus-Mattson theorem for some binary codes, Spherical designs and modular forms of the \(D_4\) lattice, Jacobi polynomials and design theory. II, Spherical designs and finite group representations (some results of E. Bannai)., A survey on spherical designs and algebraic combinatorics on spheres, Unimodular lattices and strongly regular graphs, Designs in Grassmannian spaces and lattices, Zonal functions for the unitary groups and applications to Hermitian lattices.



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