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arxiv: 1804.03192 · v2 · pith:4PVGX6QTnew · submitted 2018-04-09 · 🧮 math.CO

Almost homomorphisms between the Boolean cube and groups of prime order

classification 🧮 math.CO
keywords booleancubegrouporderprimeadditivealmostconsidered
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We show that if f is an injection from an n-dimensional Boolean cube (considered as an additive group) to a group of prime order then the probability that f(x+y)=f(x)+f(y) is O(2^{-n/11}).

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