Yuan Gao

works on

algebraic geometry codes 1 distributed storage 1 elliptic curves 1 function fields 1 locally repairable codes 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

cs.IT2026

New Constructions of Optimal $(r, I^´)$ -LRCs via Algebraic Function Fields

Yuan Gao, Haoming Shi, Weijun Fang

The paper presents new constructions of optimal locally repairable codes with parameters (r,δ) by leveraging automorphism groups of elliptic, hyperelliptic, and superelliptic funct…

cs.IT2026

New $X$ -Secure $T$ -Private Information Retrieval Schemes via Rational Curves and Hermitian Curves

Yuan Gao, Weijun Fang, Jingke Xu +1

$X$ -secure and $T$ -private information retrieval (XSTPIR) is a variant of private information retrieval where data security is guaranteed against collusion among up to $X$ servers…

cs.IT2025

Bounds and Optimal Constructions of Generalized Merge-Convertible Codes for Code Conversion into LRCs

Haoming Shi, Weijun Fang, Yuan Gao

Error-correcting codes are essential for ensuring fault tolerance in modern distributed data storage systems. However, in practice, factors such as the failure rates of storage dev…

New Constructions of Optimal (r,I^´)-LRCs via Algebraic Function Fields

New X-Secure T-Private Information Retrieval Schemes via Rational Curves and Hermitian Curves

Bounds and Optimal Constructions of Generalized Merge-Convertible Codes for Code Conversion into LRCs

New Constructions of Optimal $(r, I^´)$ -LRCs via Algebraic Function Fields

New $X$ -Secure $T$ -Private Information Retrieval Schemes via Rational Curves and Hermitian Curves