A linear programming approach to Fuglede's conjecture in ${\mathbb{Z}}_p^3$

Romanos Diogenes Malikiosis

We present an approach to Fuglede's conjecture in ${\mathbb{Z}}_p^3$ using linear programming bounds, obtaining the following partial result: if $A\subseteq {\mathbb{Z}}_p^3$ with $p^2-…