Achieving Optimal Short-Blocklength Secrecy Rate Using Multi-Kernel PAC Codes for the Binary Erasure Wiretap Channel

TL;DR

This paper demonstrates that multi-kernel polarization-adjusted convolutional codes can achieve optimal secrecy rates for short blocklengths in a binary erasure wiretap channel, balancing secrecy and efficiency.

Contribution

It introduces the use of MK-PAC codes for short-blocklength secrecy in the BE-WTC, achieving theoretical secrecy limits at small blocklengths.

Findings

MK-PAC codes achieve optimal secrecy rates at blocklengths 16, 32, 64, and 128.

Secrecy leakage can be controlled to meet theoretical bounds.

Effective for semi-deterministic binary erasure wiretap channels.

Abstract

We investigate practical short-blocklength coding for the semi-deterministic binary erasure wiretap channel (BE-WTC), where the main channel to the legitimate receiver is noiseless, and the eavesdropper's channel is a binary erasure channel (BEC). It is shown that under the average total variation distance secrecy metric, multi-kernel polarization-adjusted convolutional (MK-PAC) codes can achieve the best possible theoretical secrecy rate at blocklengths of 16, 32, 64, and 128 if the secrecy leakage is less than or equal to certain values.