Variable Packet-Error Coding

TL;DR

This paper introduces a novel coding scheme for packet transmission that guarantees source reconstruction under adversarial errors, leveraging polytope codes and applicable to distributed storage systems.

Contribution

It proposes a new code design based on polytope codes to handle adversarial packet errors with variable distortion constraints, extending previous coding frameworks.

Findings

Code guarantees source recovery with no errors under specified distortion.

Design adapts to a different number of errors with relaxed distortion constraints.

Applicable to distributed storage systems for error resilience.

Abstract

We consider a problem in which a source is encoded into N packets, an unknown number of which are subject to adversarial errors en route to the decoder. We seek code designs for which the decoder is guaranteed to be able to reproduce the source subject to a certain distortion constraint when there are no packets errors, subject to a less stringent distortion constraint when there is one error, etc. Focusing on the special case of the erasure distortion measure, we introduce a code design based on the polytope codes of Kosut, Tong, and Tse. The resulting designs are also applied to a separate problem in distributed storage.