Polar lattices for strong secrecy over the mod-Λ Gaussian wiretap channel
- Resource Type
- Conference
- Authors
- Yan, Yanfei; Liu, Ling; Ling, Cong
- Source
- 2014 IEEE International Symposium on Information Theory Information Theory (ISIT), 2014 IEEE International Symposium on. :961-965 Jun, 2014
- Subject
- General Topics for Engineers
Lattices
Encoding
Reliability
Mutual information
Decoding
Error probability
- Language
- ISSN
- 2157-8095
2157-8117
Polar lattices, which are constructed from polar codes, are provably good for the additive white Gaussian noise (AWGN) channel. In this work, we propose a new polar lattice construction that achieves the secrecy capacity under the strong secrecy criterion over the mod-Λ Gaussian wiretap channel. This construction leads to an AWGN-good lattice and a secrecy-good lattice simultaneously. The design methodology is mainly based on the equivalence in terms of polarization between the Λ/Λ′ channel in lattice coding and the equivalent channel derived from the chain rule of mutual information in multilevel coding.