Meng Cao

collaborators

3 papers

math.CO2025

Cross-intersection theorems for uniform partitions of finite sets

Tian Yao, Mengyu Cao, Haixiang Zhang

A set partition is $c$ -uniform if every block has size $c$ . Two families of $c$ -uniform partitions of a finite set are said to be cross $t$ -intersecting if two partitions from diff…

quant-ph2025

Optimal Quantum $(r, I^´)$ -Locally Repairable Codes From Matrix-Product Codes

Meng Cao, Kun Zhou

This paper studies optimal quantum $(r, I^´)$ -LRCs from matrix-product (MP) codes. We establish a necessary and sufficient condition for an MP code to be an optimal $(r, I^´)$ -LRC. Bas…

quant-ph2025

Optimal Quantum $(r, I^´)$ -Locally Repairable Codes via Classical Ones

Kun Zhou, Meng Cao

Locally repairable codes (LRCs) play a crucial role in mitigating data loss in large-scale distributed and cloud storage systems. This paper establishes a unified decomposition the…

Cross-intersection theorems for uniform partitions of finite sets

Optimal Quantum (r,I^´)-Locally Repairable Codes From Matrix-Product Codes

Optimal Quantum (r,I^´)-Locally Repairable Codes via Classical Ones

Optimal Quantum $(r, I^´)$ -Locally Repairable Codes From Matrix-Product Codes

Optimal Quantum $(r, I^´)$ -Locally Repairable Codes via Classical Ones