Presidential Young Investigator Award

本课题主要研究四个主题：1)数据网络体系结构；2)多用户信息与通信理论；3)代数编码理论与数字信号处理之间的关系；4)密码伪随机序列的产生。第一个问题涉及大量突发用户如何以高度灵活的方式共享公共通信资源的问题。第二个涉及具有或不具有噪声的多接入信道的多用户编码和调制方案的分析和构造问题。第三个目标是利用代数学家和工程师的观点的优点，例如，也许可以表征卷积码的代数结构。第四部分介绍了从LFSR序列产生伪随机序列的新技术，该序列的特征与期望序列的特征不同。

This project focuses on four topics: 1) data network architectures 2) multi-user information and communication theory 3) relationship between algebraic coding theory and digital signal processing and 4) generation of pseudo-random sequences for cryptographic purposes. The first involves the question of how common communication resources can be shared in a highly flexible manner by a large number of bursty users. The second involves questions of the analysis and construction of multi-user coding and modulation schemes for multiple access channels with or without noise. The third sis directed at exploiting the advantages of both the algebraist's and the engineer's point of view, for example to perhaps characterize the algebraic structure of convolutional codes. The fourth looks at new techniques to generate pseudorandom sequences from LFSR sequences over a field with characteristic different from the characteristic of the desired sequence.