2008/10/24 by Junichi Shigezumi, Shigezumi, Junichi
Engineering · Materials Science · Mathematics · #03G10 #05B30 #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Approximation and Integration #Optimization and Packing Problems #Quasicrystal Structures and Properties #math.CO #msc:03G10 #msc:05B30
paper · pdf · doi:10.48550/arxiv.0810.4373
199 pages, http://www2.math.kyushu-u.ac.jp/~j.shigezumi/L3/
arxiv created 2008/10/24 · openalex publication_date 2008/10/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An integral lattice which is generated by some vectors of norm q is called q-lattice. Classification of 3-lattices of dimension at most four is given by Mimura (On 3-lattice, 2006). As a expansion, we give a classification of 3-lattices of dimension at most seven. In addition, we consider the spherical designs from its shells.