@article{Wang2024, 
author = {Qiuyan Wang and Weixin Liu and Jianming Wang and Yang Yan},
title = {A class of nearly optimal codebooks and their applications in strongly regular Cayley graphs},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18236-18246},
keywords = {codebook, character, finite field, signal set, Welch bound},
url = {https://www.sciopen.com/article/10.3934/math.2024890},
doi = {10.3934/math.2024890},
abstract = {Codebooks with small inner-product correlations are desirable in many fields, including compressed sensing, direct spread code division multiple access (CDMA) systems, and space-time codes. The objective of this paper is to present a class of codebooks and explore their applications in strongly regular Cayley graphs. The obtained codebooks are nearly optimal in the sense that their maximum cross-correlation amplitude nearly meets the Welch bound. As far as we know, this construction of codebooks provides new parameters.}
}