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Codes for correcting sticky insertions/deletions and limited-magnitude errorshave attracted significant attention due to their applications of flashmemories, racetrack memories, and DNA data storage systems. In this paper, wefirst consider the error type of $t$-sticky deletions with$\ell$-limited-magnitude and propose a non-systematic code for correcting thistype of error with redundancy $2t(1-1/p)\cdot\log(n+1)+O(1)$, where $p$ is thesmallest prime larger than $\ell+1$. Next, we present a systematic codeconstruction with an efficient encoding and decoding algorithm with redundancy$\frac{\lceil2t(1-1/p)\rceil\cdot\lceil\log p\rceil}{\log p}\log(n+1)+O(\log\log n)$, where $p$ is the smallest prime larger than $\ell+1$.

Codes for Correcting $t$ Limited-Magnitude Sticky Deletions