Cayley sum graphs and their applications to codebooks
DESIGNS CODES AND CRYPTOGRAPHY(2022)
摘要
In this paper we first provide two new constructions for Cayley sum graphs, namely, norm-coset graphs and trace-coset graphs, and determine their second largest eigenvalues using Gaussian sums. Next, a connection between Cayley sum graphs and complex codebooks is established. Based on this, infinite families of asymptotically optimal complex codebooks are explicitly constructed. The derived Cayley sum graphs and codebooks either include some known constructions as special cases or provide flexible new parameters.
更多查看译文
关键词
Cayley sum graph,Eigenvalue,Gaussian sum,codebook,Welch bound
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要