4 problems

Ward's divisibility conjecture. Suppose that $p^e\mid d$ and $p^e\geq q$. Then $p^{e+1}/q$ is a divisor of $C$.

Let $D=\Delta_{M_1}+\eta\Delta_{M_2}+\cdots+\eta^{n-1}\Delta_{M_n}\subset\mathbb{F}_{2^n}^m$ be as above, with the hypotheses stated in the source, and let $C^{(2)}_{D^c}$ be the a…

Let $\mathbb{F}_{2^n}=\mathbb{F}_{2}(\eta)$ with $\eta\in\mathbb{F}_{2^n}$, and let … where $m\in\mathbb{N}$, $\emptyset\neq M_i\subsetneq[m]$ for $1\leq i\leq n$, and…

Let $\mathbb{F}_{2^n}=\mathbb{F}_{2}(\eta)$, let $m\in\mathbb{N}$, and let $\emptyset\neq M\subsetneq[m]$. Set … Let $C_{D^{\ast}}$ be the associated punctured simplicial code, and…