4 problems

Let $C$ be a one-point algebraic-geometric code associated to the curve … over $GF(p^2)$, with length $n=2p(p-1)+p$, and let $X$ be the corresponding curve over a field $F$. Arrang…

Let $q$ be a prime power with $q\geq 3$, and let $\mathcal{X}$ be the maximal hyperelliptic curve over $\mathbb{F}_{q^2}$ given by … Let $u_B\in\mathbb{F}_{q^2}[x]$ be an irreducib…

Refined Singleton-bound conjecture. The minimum distance satisfies

Let $X$) be a weighted projective variety with orbifold singularities, and let $C$ be a quantum stabilizer code constructed from self-orthogonal algebraic geometry codes on $X$. Wr…