信息论和网络编码中的随机资源研究

项目名称： 信息论和网络编码中的随机资源研究

项目编号： No.61271174

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 无线电电子学、电信技术

项目作者： 蔡宁

作者单位： 西安电子科技大学

项目金额： 60万元

中文摘要： 通信中的随机资源包括用户共享的公共随机量和相关信源等。随机资源是通信的重要辅助工具,在很多通信系统中起了关键作用。合法通信双方的公共随机资源是信息理论意义下安全的必不可少条件。而且，合理使用随机资源可在任意变化信道等多用户信道和网络编码中发挥戏剧性的作用。因此,对随机资源的研究不仅使我们能更有效地发挥其在通信中的作用，这往往也是通往信息论和网络编码困难问题的答案之路。本项目研究公共随机量和相关信源作为随机资源在任意变化信道，窃听信道，多址接入信道和网络安全和纠错编码中的作用；确定干扰者具有输入边信息的任意编码信道的容量；确定共享相关信源的窃听信道的容量和任意变化窃听信道的容量；证明猜想"多址接入信道随机化最大错误编码容量域大于它的确定型最大错误编码容量域"；研究非k-网络安全编码，提出高效的普适性网络安全和纠错编码算法。本项目研究将为我国开发高速可靠地通信网络提供新的思路。

中文关键词： 随机资源；网络安全；网络纠错；信息容量；量子信息论

英文摘要： Random resource in communication systems includes common randomness and correlated sources and etc. Random resource is an important auxiliary tool, which plays a key role in many communication systems. Random resource shared by legitimate users is an indispensable condition of Information Theoretical Security. Moreover, the efficient utilize of random resources can play a dramatic role in arbitrarily varying channel and other multi-user channels as well as network coding. Therefore, the study on randomness not only helps us effectively explore the function of random resources in communication systems, but also is an important step to solve difficult problems in information theory and network coding. In this project, we study the roles of common randomness and correlated sources as random resource in arbitrarily varying channel, wiretap channel, multiple access channel and secure and error-correction network coding; determine the capacity region of arbitrary coding channel with jammer knowing side information of the input; obtain the capacity region of wiretap channel with correlated sources and arbitrary variable wiretap channel; prove the conjecture "randomization enlarges the maximum error capacity region of multiple access channel"; study non k-secure network coding and propose some efficient generalized secu

英文关键词： Common randoms；Network secure；Network error correction；Channel capacity；Quantum information