Symplectic groups, symplectic spreads, codes, and unimodular lattices

DOI10.1006/jabr.1996.6902zbMath0887.20004OpenAlexW1976106040MaRDI QIDQ1365015

Rudolf Scharlau, Pham Hũ'u Tiêp

Publication date: 26 May 1998

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

Full work available at URL: https://semanticscholar.org/paper/8e3c96fa36ffc9f86e7611e0e7402d1bb89cf312

zbMATH Keywords

symplectic groupsWeil representationsirreducible representationsunimodular latticesselfdual codessymplectic spreads

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear algebraic groups over finite fields (20G40) Finite affine and projective planes (geometric aspects) (51E15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Integral representations of finite groups (20C10) Other finite nonlinear geometries (51E25) Automorphism groups of lattices (11H56)

Related Items (6)

A Family of Complex Irreducible Characters Possessed by Unitary and Special Unitary Groups Defined over Local Rings ⋮ Some generalizations of the Weil representations of the symplectic and unitary groups ⋮ Lattices and association schemes: a unimodular example in dimension 28 ⋮ Weil representations of the symplectic group ⋮ MUBs inequivalence and affine planes ⋮ Symplectic group lattices

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