Generalized asymptotically optimal codebooks

Gang Wang, Min-Yao Niu and You Gao

Applied Mathematics and Computation, 2020, vol. 379, issue C

Abstract: 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.

Keywords: Codebooks; Maximal cross-correlation amplitude; Welch bound; Asymptotic optimality; Character sums; Finite fields (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320301995

DOI: 10.1016/j.amc.2020.125230

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