Wedge-Lifted Codes
Jabari Hastings, Amy Kanne, Ray Li, Mary K. Wootters · 2021
We define wedge-lifted codes, a variant of lifted codes, and we study their locality properties. We show that (taking the trace of) wedge-lifted codes yields binary codes with the$t$-disjoint repair property ($t$-DRGP). When$t= N^{1/2d}$, where$N$is the block length of the code and$d\geq 2$is any integer, our codes give improved trade-offs between redundancy and locality among binary codes.