Alexandros G. Dimakis, Anna Gal, Ankit Singh Rawat, Zhao Song

Consider a large database of $n$ data items that need to be stored using $m$ servers.

We study how to encode information so that a large number $k$ of read requests can be performed \textit{in parallel} while the rate remains constant (and ideally approaches one).

This problem is equivalent ...
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Omar Alrabiah, Venkatesan Guruswami

A recent work of Li and Wootters (2021) shows a redundancy lower bound of $\Omega(\sqrt{Nk})$ for systematic linear $k$-batch codes of block length $N$ by looking at the $O(k)$ tensor power of the dual code. In this note, we present an alternate proof of their result via a linear independence ... more >>>