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math.CO2023
Euclidean sets with only one distance modulo a prime ideal
Hiroshi Nozaki
Let be a finite set in the Euclidean space . If the squared distance between any two distinct points in is an odd integer, then the cardinality of is boun…
math.CO2023
Spherical designs and modular forms of the lattice
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
In this paper, we study shells of the lattice with a {slight generalization} of spherical -designs due to Delsarte-Goethals-Seidel, namely, the spherical design of harmoni…