On sets of polynomials whose difference set contains no squares

Thái Hoàng Lê, Yuru Liu · Acta Arithmetica · 2013

Let ${\mathbb F}_q[t]$ be the polynomial ring over the finite field ${\mathbb F}_q$, and let ${\mathbb G_{N}}$ be the subset of ${\mathbb F}_q[t]$ containing all polynomials of degree strictly less than $N$. Define $D(N)$ to be the maximal cardinality of

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