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A Small Maximal Sidon Set In $Z_2^n$

Published 1 Sep 2021 in math.CO | (2109.00292v3)

Abstract: A Sidon set is a subset of an Abelian group with the property that each sum of two distinct elements is distinct. We construct a small maximal Sidon set of size $O((n \cdot 2n){1/3})$ in the group $\mathbb{Z}_2n$, generalizing a result of Ruzsa concerning maximal Sidon sets in the integers.

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