Note on Existence and Non-Existence of Large Subsets of Binary Vectors with Similar Distances

Gregory Gutin, Mark Jones

We consider vectors from $\{0,1{\}}^n$. The weight of such a vector $v$ is the sum of the coordinates of $v$. The distance ratio of a set $L$ of vectors is ${\rm dr}(L):=\max \{ρ(x,y…