3 problems

Let $k<n-b1$, and let $\mathcal{C}_{F,k,A}=\Psi_A(\mathbb{F}_{q^m}\langle X^q\rangle_k)$ be a $q$CRT code, where $F=(f_1,\ldots,f_s)$ consists of pairwise suitably coprime lineariz…

Injectivity conjecture. If $1\le r\le q-1$, then the evaluation map $\epsilon_r$ is injective.

Let $f_3(x)$ denote a polynomial in family 3, considered over $\operatorname{\mathbb{F}}_{q^m}$. A polynomial is scattered when the associated linear set $L_{f_3}$ has all points o…