2 citations · 2 across the 5 of their papers we have counts for
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math.CO2009
Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices
Junichi Shigezumi
We give classifications of integral lattices which include the Barnes-Wall lattice or laminated lattices of dimension and of minimum 4. Also,…
math.CO2008
On 3-lattices and spherical designs
Junichi Shigezumi
An integral lattice which is generated by some vectors of norm is called -lattice. Classification of 3-lattices of dimension at most four is given by Mimura (On 3-lattice, 2…
math.CO2008
A construction of spherical designs from finite graphs with the theory of crystal lattice
Junichi Shigezumi
We want to introduce a construction of spherical designs from finite graphs with the theory of crystal lattice. We start from a finite graph, and we consider standard realization o…