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On the Size of Finite Sidon Sequences

On the Size of Finite Sidon Sequences

Let $h \geq 2$ be an integer. A set of positive integers B is called a ${B_h}$-sequence, or a Sidon sequence of order h, if all sums ${a_1} + {a_2} + \cdots + {a_h}$, where ${a_i} \in B (i = 1,2, \ldots ,h)$, are distinct up to rearrangements of the …