# What do you call a set whose subsets all have unique sums?

An example would be $\{1, 3, 7\}$, which has subsets with sums $1, 3, 7, 4, 10, 8, 11$.

What is this called?

• I don't know of a special name, but here is a reference. – vadim123 Jul 27 '14 at 19:31
• @amWhy thanks, I edited. – 1.618 Jul 27 '14 at 19:40
• If one only demands that the pairwise sums are distinct, then this would be a Sidon set. But I know that doesn't answer your question. – Greg Martin Jul 27 '14 at 20:05