Generalized asymptotically optimal codebooks

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摘要

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.

论文关键词:Codebooks,Maximal cross-correlation amplitude,Welch bound,Asymptotic optimality,Character sums,Finite fields

论文评审过程:Received 11 November 2019, Revised 7 March 2020, Accepted 15 March 2020, Available online 5 April 2020, Version of Record 5 April 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125230