@article{Yan2024, 
author = {Yang Yan and Hanning Chen and Jianming Wang and Gang Wang},
title = {A new construction of asymptotically optimal codebooks},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9631-9640},
keywords = {codebooks, characters, finite fields, asymptotical optimality, Welch bound},
url = {https://www.sciopen.com/article/10.3934/math.2024471},
doi = {10.3934/math.2024471},
abstract = {Codebooks with small cross-correlation amplitude have extensive applications in many fields including code division multiple access (CDMA) communications systems, space-time codes, and compressed sensing. In this paper, a class of asymptotically optimal codebooks was constructed, and the maximum inner-product of these presented codebooks was determined by using properties of character sums over finite fields. Furthermore, these codebooks provided new parameters.}
}