Presidential Young Investigator Award

本项目主要研究四个主题：1)数据网络架构；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的关系；4)用于密码学目的的伪随机序列的生成。第一个问题涉及如何使大量突发用户以高度灵活的方式共享公共通信资源的问题。第二个问题涉及多用户编码和调制方案的分析和构建问题，用于有噪声或无噪声的多址信道。第三个目标是利用代数学家和工程师的观点的优势，例如，可能表征卷积代码的代数结构。第四部分着眼于从LFSR序列生成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.