Locality via Partially Lifted Codes

Understand

In error-correcting codes, locality refers to several different ways of quantifying how easily a small amount of information can be recovered from encoded data.

• In this work, we study a notion of locality called the s-Disjoint-Repair-Group Property (s-DRGP).
• This notion can interpolate between two very different settings in coding theory: that of Locally Correctable Codes (LCCs) when s is large---a very strong guarantee---and Locally Recoverable Codes (LRCs) when s is small---a relatively weaker guarantee.
• This motivates the study of the s-DRGP for intermediate s, which is the focus of our paper.