4 problems

Let $q$ be a prime power, and let $RS_k(\mathbb{F}_{q},\mathbb{F}_{q}^{*})$ denote the standard Reed–Solomon code of dimension $k$ evaluated at all nonzero elements of…

Let $q$ be a prime power, let $\theta$ specify the twist defining the twisted Reed–Solomon code ${\rm TRS}_k(\mathbb{F}_q,\theta)$, and let $\mathcal{S}_{k,\theta}$ be the source-d…

Let $q$ be a power of a prime, $(q-1)/2le n-k$, and $k<n\le q$. Let ${\bf a}=(\alpha_1,\ldots,\alpha_n)$ and let ${\bf w}$ denote the multiplier vector from the associated MDS code…

Let $\mathbb{F}_q$ be a finite field, let $RS(q,k)$ be the affine Reed–Solomon code obtained by evaluating polynomials of degree less than $k$ at all elements of $\mathbb{F}_q$, an…