2 problems

Let $[n]=\{1,\ldots,n\}$, and let $\operatorname{cdim}(\mathcal C)$ denote the closed embedding dimension of a code $\mathcal C\subseteq 2^{[n]}$. Closed-dimension existence conjec…

Let $[n]=\{1,\ldots,n\}$, and for a code $\mathcal C\subseteq 2^{[n]}$ write $\operatorname{odim}(\mathcal C)$, $\operatorname{cdim}(\mathcal C)$, and…