2015/03/08 by Линг Лиу, Liu, Ling, Yanfei Yan +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · #Cooperative Communication and Network Coding #DNA and Biological Computing #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.1503.02313
openalex publication_date 2015/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, an explicit wiretap coding scheme based on polar lattices is proposed to achieve the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel. Firstly, polar lattices are used to construct secrecy-good lattices for the mod-Λs Gaussian wiretap channel. Then we propose an explicit shaping scheme to remove this mod-Λs front end and extend polar lattices to the genuine Gaussian wiretap channel. The shaping technique is based on the lattice Gaussian distribution, which leads to a binary asymmetric channel at each level for the multilevel lattice codes. By employing the asymmetric polar coding technique, we construct an AWGN-good lattice and a secrecy-good lattice with optimal shaping simultaneously. As a result, the encoding complexity for the sender and the decoding complexity for the legitimate receiver are both O(N logN log(logN)). The proposed scheme is proven to be semantically secure.