Pingzhi Yuan

collaborators

5 papers

cs.IT2026

Schur--Plucker Geometry of the MDS Locus for Principal-Ideal Codes

Yangcheng Li, Pingzhi Yuan

Let $g$ be a monic polynomial of degree $r<n$, and let $C_g(n)$ be the coefficient-vector code formed by multiples $ug$ with $°(ug)<n$. We study the coefficient-space MDS…

math.NT2026

Cyclic Projective Orbits on Rational Normal Curves and MDS Codes

Yangcheng Li, Pingzhi Yuan

Let $A$ be a cyclic operator on an $r$-dimensional vector space over a field $k$, and let $z$ be a cyclic vector. Their Krylov code has parity-check matrix \((z,Az,\ldots,A…

math.NT2026

Cyclic Codes and Cyclically Covering Subspaces over Finite Fields

Yangcheng Li, Pingzhi Yuan

Let $q$ be a power of a prime $p$, and let $n$ be a positive integer. A subspace $U\subseteq \mathbb F_q^n$ is called cyclically covering if the union of all its cyclic shi…

math.NT2026

On cyclically covering subspaces of $F_{q}^{n}$

Yangcheng Li, Pingzhi Yuan, Shuang Li +1

For a prime power $ q $ and a positive integer $ n $, a subspace $ U \subseteq \mathbb{F}_q^n $ is called cyclically covering if the union of all its cyclic shifts covers the…

math.NT2025

On Trivial Cyclically Covering Subspaces of $F_{q}^{n}$ in Non-Coprime Characteristic

Shuang Li, Pingzhi Yuan

A subspace $U$ of $F_{q}^{n}$ is called \textit{cyclically covering} if the whole space $F_{q}^{n}$ is the union of the cyclic shifts of $U$ . The case $F_{q}^{n}$ it…

Schur--Plucker Geometry of the MDS Locus for Principal-Ideal Codes

Cyclic Projective Orbits on Rational Normal Curves and MDS Codes

Cyclic Codes and Cyclically Covering Subspaces over Finite Fields

On cyclically covering subspaces of Fqn​

On Trivial Cyclically Covering Subspaces of Fqn​ in Non-Coprime Characteristic

On cyclically covering subspaces of $F_{q}^{n}$

On Trivial Cyclically Covering Subspaces of $F_{q}^{n}$ in Non-Coprime Characteristic