algebraic geometry codes 1distributed storage 1elliptic curves 1function fields 1locally repairable codes 1
From the 1 of 3 linked papers with an AI index.
3 papers
cs.IT2026
New Constructions of Optimal -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
Tight Bandwidth Lower Bounds and Optimal Constructions of Locally Repairable Convertible Codes in the Global Split Regime
Haoming Shi, Weijun Fang
Erasure coding is a key technique for providing fault tolerance in modern distributed storage systems. In practice, as storage systems evolve, the parameters of the deployed erasur…
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…