We study those multiplicative subgroups of \({\mathbb F}_{2^n}^*\) which are Sidon sets and/or sum-free sets in the group \(({\mathbb F}_{2^n},+)\). These Sidon and sum-free sets play an important role relative to the exponents of APN power functions, as shown by a paper co-authored by the first author.

中文翻译：

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在$$ {\ mathbb F} _ {2 ^ n} ^ * $$ F 2 n ∗的那些乘法子群上，它们是西顿集和/或无和集

我们研究\（{\ mathbb F} _ {2 ^ n} ^ * \）的那些乘法子群，它们是\（（{{mathbb F} _ {2 ^ n }，+）\）。正如第一作者合着的论文所示，这些西顿和无和集相对于APN幂函数的指数起着重要作用。