Recently, Luo et al. proposed two new codebooks based on the operations of some given sets, which are asymptotically optimal. In the paper, we present new construction of codebooks. We determine maximal cross-correlation amplitude of the constructed codebooks. The constructed codebooks are near optimal to the Welch bound. This new codebooks in the paper generalize Luo et al.'s constructions. The parameters of constructed codebooks are nimble and new under some circumstances. (C) 2020 Elsevier Inc. All rights reserved.
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