Sets in ℤn with distinct sums of pairs

A subset S={s"1,...,s"k} of an abelian group G is called an S"t-set of size k if all sums of t different elements in S are distinct. A function with applications in coding theory, v"@c(k) denotes the order of the smallest cyclic group in which an S"2-set of size k exists. A lower bound for v"@c(k) is given in this study, and exact values of v"@c(k) are obtained for k=