Education Background

教育背景

• Bachelor of Science in Mathematics
  School of Mathematics, Aba Teachers University, Wenchuan, Sichuan
  September 2019 – June 2023
  Supervisor: Prof. Shichun Yang

  数学理学学士
  数学学院, 阿坝师范学院，四川 汶川
  2019年9月 – 2023年6月
  指导教师: 杨仕椿 教授

• Master's degree in progress
  School of Mathematical Sciences, Sichuan Normal University
  September 2024 – Present
  Supervisor: Prof. Qunying Liao

  硕士研究生（在读）
  数学科学学院，四川师范大学
  2024年9月 – 至今
  指导教师: 廖群英 教授

Research Interests

研究方向

• Algebraic Coding Theory over Finite Fields

  有限域上的代数编码理论

• Elementary Number Theory

  初等数论

Teaching Assistant Experience

教学经历

• Abstract Algebra
  School of Mathematical Sciences, Sichuan Normal University
  September 2024 – January 2025

  抽象代数
  四川师范大学 数学科学学院
  2024年9月 – 2025年1月

• Elementary Number Theory
  School of Mathematical Sciences, Sichuan Normal University
  March 2025 – July 2025

  初等数论
  四川师范大学 数学科学学院
  2025年3月 – 2025年7月

Awards & Honors

获奖与荣誉

• "Merit Student" Honor for Master's degree student, Sichuan Normal University
  2025-2026 Academic Year

  四川师范大学 硕士研究生 "三好学生" 荣誉称号
  2024-2025 学年

• First-Class Academic Scholarship for Graduate Students, Sichuan Normal University
  2025 Year

  四川师范大学 研究生学业一等奖学金
  2025年

• President's Scholarship for Graduate Students, Sichuan Normal University
  2024 Year

  四川师范大学 研究生校长奖学金
  2024年

• The First Prize of Graduation Thesis for Undergraduate Students of the 2023 Cohort, Aba Teachers' University

  阿坝师范学院 2023届本科优秀毕业论文一等奖

• "Merit Student" Honor, Aba Teachers University
  2019 – 2020 Academic Year

  阿坝师范学院 "三好学生" 荣誉称号
  2019 – 2020 学年

Hosted/Participated Projects

主持/参与的项目

• Hosted Project
  Exploration of the Properties of Generalized Roth-Lempel Codes
  Sichuan Normal University Graduate Student Innovation Ability Development Program
  2025 – 2026
  Project No.: KY2025022
  Supervisor: Prof. Qunying Liao

  主持项目
  广义Roth-Lempel码的性质探究
  四川师范大学研究生创新能力培养项目
  2025年 – 2026年
  项目编号：KY2025022
  指导教师: 廖群英 教授

• Hosted Project
  Research on Stability of a Class of Quasilinear Differential Equations
  University-Level Quality Project of Aba Teachers University & Sichuan Provincial College Student Innovation Training Program
  2020 – 2023
  Project No.: 202020115 (University-Level) & S202110646050 (Provincial)
  Supervisor: Assoc. Prof. Biao Dong

  主持项目
  一类拟线性微分方程稳定性研究
  阿坝师范学院校级质量工程和四川省大学生创新训练项目
  2020年 – 2023年
  项目编号：202020115（校级）和 S202110646050（省级）
  指导老师: 董彪 副教授

Publications

已发表论文

• [1] Liang Z, Liao Q. Four classes of LCD codes from $(∗)$-$(\mathcal{L}, \mathcal{P})$-twisted generalized Reed-Solomon codes IEEE Trans. Inf. Theory, 2026. (CCF-A, 编码领域 Top 期刊) PDF
• [2] Liang Z, Liao Q. The extended code for a class of generalized Roth-Lempel codes and their properties Discrete Math., 349(8):115084, 2026. PDF
• [3] Liang Z, Liao Q. Two classes of NMDS codes from Roth-Lempel codes Finite Fields Appl., 111:102779, 2026. PDF
• [4] Wan Y, Liang Z, Liao Q. The asymptotic estimation for two classes of generalized Fibonacci sub-sequences Mathematica Bohemica, 2026. PDF

• [5] Liang Z, Yang S C, Liao Q Y. 梁钟浩, 杨仕椿, 廖群英. Further refinement of estimates of $p_k$ and $\sum_{k=1}^{n}kp_k$ true bounds 关于 $p_k$、$\sum_{k=1}^{n}kp_k$ 的确界估计的进一步精确 College Mathematics 大学数学 , 41(01):16–22, 2025. (in Chinese)(中文) PDF

• [6] Liang Z, Yang S C. 梁钟浩, 杨仕椿. Further intensification of an inequality about the number of prime numbers 关于素数个数的一个不等式的加强 Journal of Science of Teachers' College and University 高师理科学刊 , 44(02):6–8+14, 2024. (in Chinese)(中文) PDF

ArXiv Preprints

ArXiv预印本

• [1] Huang Y, Liang Z, Jia C, Wan Y, Liao Q. Four classes of few-weight self-orthogonal codes and their applications for LCD codes and quantum codes arXiv:2607.07181, 2026. PDF
• [2] Jia C, Liang Z, Huang Y, Liao Q. The Hermitian Hull Dimensions for a Class of $(\mathcal{L},\mathcal{P})$-Twisted Generalized Reed-Solomon Codes arXiv:2607.03802, 2026. PDF
• [3] Liang Z, Liao Q, Zhang J, Li X. The MDS or NMDS for Modified GRS codes with flexible hull dimensions and lengths arXiv:2606.25662v1, 2026. PDF
• [4] Liang Z, Huang D, Liao Q, et al. Non-GRS type Euclidean and Hermitian LCD codes and Their Applications for EAQECCs arXiv:2603.16187, 2026. PDF

• [5] Liang Z, Jia C, Huang D, Liao Q, Tang C. Multi-Twisted Generalized Reed-Solomon Codes: Structure, Properties, and Constructions arXiv:2511.03398, 2025. PDF
• [6] Wan Y, Liang Z, Liao Q. The inverse of the (alternating) infinite sum of the reciprocal of the weighted sum for generalized Fibonacci sub-sequences arXiv:2509.14569, 2025. PDF
• [7] Liang Z, Liao Q. The equivalent condition for GRL codes to be MDS, AMDS or self-dual arXiv:2506.03874, 2025. PDF

Conference & Summer School Participation

会议及暑期学校参与经历

Conference 学术会议

THE 12TH WORKSHOP ON FINITE FIELDS AND THEIR APPLICATIONS 第十二届有限域及其应用研讨会（FFA2026）

Summer School 暑期学校

2026 National Summer School on Mathematical Foundations of Coding and Cryptography 2026年“编码密码的数学基础”全国暑期班