Conference matrices and unimodular lattices

2000/07/19 by Robin Chapman, Chapman, Robin
Computer Science · Engineering · Mathematics · #11H71 (Primary) 105B20 #94B15 (Secondary) #Advanced Algebra and Logic #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #graph theory and CDMA systems #math.CO #math.NT #msc:105B20 #msc:11H71 #msc:94B15

paper · pdf · doi:10.48550/arxiv.math/0007116

17 pages. Subitted to European Journal of Combinatorics

arxiv created 2000/07/19 · openalex publication_date 2000/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by non-principal ideals yields simple constructions of further lattices including the Leech lattice.

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