Compression with Privacy-Preserving Random Access

TL;DR

This paper demonstrates a lossless compression scheme for binary sources that allows individual data retrieval without revealing information about other bits, ensuring privacy during random access.

Contribution

It introduces a novel compression method enabling private, lossless random access to individual bits without compromising the privacy of the entire source.

Findings

Achieves lossless compression above entropy rate

Ensures individual bit privacy during decoding

Supports arbitrary random access to source bits

Abstract

It is shown that an i.i.d. binary source sequence $X_1, \ldots, X_n$ can be losslessly compressed at any rate above entropy such that the individual decoding of any $X_i$ reveals \emph{no} information about the other bits $\{X_j : j \neq i\}$.