Yangcheng Li

collaborators

8 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

Discrete Fourier Transform Approach to Cyclically Covering Subspaces of $F_{q}^{n}$

Yangcheng Li, Pingzhi Yuan

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

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

Determination of Some Types of Permutations over $F_{q}^{2}$ with Low-Degree

Xuan Pang, Yangcheng Li, Pingzhi Yuan +1

The characterization of permutations over finite fields is an important topic in number theory with a long-standing history. This paper presents a systematic investigation of low-d…

math.NT2025

Permutation polynomials of the form $x + γ Tr (H (x))$

Yangcheng Li, Xuan Pang, Pingzhi Yuan +1

Given a polynomial $ H(x) $ over $\mathbb{F}_{q^n}$, we study permutation polynomials of the form $ x + γ\mathrm{Tr}(H(x)) $ over $\mathbb{F}_{q^n}$. Let \[P_H=\{γ\in \math…

math.NT2025

$(G, F)$ -points on $Q$ -algebraic varieties

Yangcheng Li, Hongjian Li

Let $G \in Q [x, y, z]$ be a polynomial, and let $V (G)$ be the $Q$ -algebraic variety corresponding to $G$ , i.e., $V (G) = {P \in Q^{3} ∣ G (P) = 0}$ . Let \[\begin{sp…

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

Discrete Fourier Transform Approach to Cyclically Covering Subspaces of Fqn​

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​

Determination of Some Types of Permutations over Fq2​ with Low-Degree

Permutation polynomials of the form x+γTr(H(x))

(G,F)-points on Q-algebraic varieties

Discrete Fourier Transform Approach to Cyclically Covering Subspaces of $F_{q}^{n}$

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

Determination of Some Types of Permutations over $F_{q}^{2}$ with Low-Degree

Permutation polynomials of the form $x + γ Tr (H (x))$

$(G, F)$ -points on $Q$ -algebraic varieties