Achieving Secrecy Capacity of the Gaussian Wiretap Channel with Polar Lattices

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-$\Lambda_s$ Gaussian wiretap channel. Then we propose an explicit shaping scheme to remove this mod-$\Lambda_s$ 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.Comment: Submitted to IEEE Trans. Information Theory, revised. This is the authors' own version of the pape

Construction of Capacity-Achieving Lattice Codes: Polar Lattices

In this paper, we propose a new class of lattices constructed from polar codes, namely polar lattices, to achieve the capacity \frac{1}{2}\log(1+\SNR) of the additive white Gaussian-noise (AWGN) channel. Our construction follows the multilevel approach of Forney \textit{et al.}, where we construct a capacity-achieving polar code on each level. The component polar codes are shown to be naturally nested, thereby fulfilling the requirement of the multilevel lattice construction. We prove that polar lattices are \emph{AWGN-good}. Furthermore, using the technique of source polarization, we propose discrete Gaussian shaping over the polar lattice to satisfy the power constraint. Both the construction and shaping are explicit, and the overall complexity of encoding and decoding is $O(N\log N)$ for any fixed target error probability.Comment: full version of the paper to appear in IEEE Trans. Communication

流行性出血热患者1例的护理体会

Objective: To explore the nursing methods of patients with epidemic hemorrhagic fever. Methods: Through careful nursing, 1 case of patients with epidemic hemorrhagic fever, summed up the experience. Results: Patients with epidemic hemorrhagic fever were 2 days later improved, within 6 months to fully recover. Conclusion: With proper treatment and careful nursing, patients with epidemic hemorrhagic fever are able to fully recover.目的  探讨流行性出血热患者的护理方法。方法  通过1例流行性出血热患者的护理，总结其中的经验。结果  流行性出血热患者2天后好转出院，随防6个月完全恢复。结论  通过正确的治疗和细致的护理，流行性出血热患者能够完全恢复

糖尿病的社区防治及日常护理

Diabetes mellitus is a kind of complex pathogenesis syndrome,and it is characterized by hyperglycemia. It was caused by heredity, environment, immunity and other factors. And it is one kind of common endocrine and metabolic. The incidence of diabetes mellitus is increasing., and it has been regarded as the world health problems that threaten human health. Early prevention and nursing of diabetes should be paid attention to.The article simply summarized the community prevention and daily care of diabetes mellitus,and provided experience for prevention of it and its complications.糖尿病是由遗传、环境、自身免疫力等多种因素导致的以高血糖为主特征的复合病因综合征，是一种常见的内分泌代谢性疾病。糖尿病的发病率呈逐渐上升趋势，已成为严重威胁人类健康的世界性卫生保健问题，因此，对糖尿病的早期防治及护理的应引起广泛重视。本文是对糖尿病的社区防治及日常生活护理的简单总结，为预防糖尿病及并发症的发生提供经验

A nontrivial solution for a nonautonomous Choquard equation with general nonlinearity

With the help of the monotonicity trick, a nonautonomous Choquard equations with general nonlinearity is studied and a nontrivial solution is obtained