New Constructions of Asymptotically Optimal Codebooks via Cyclotomic Classes of Order 8

Wanfeng Qi, Yueying Song, Rui Ma, Lingli Tang and Qian Wang

Mathematical Problems in Engineering, 2019, vol. 2019, 1-8

Abstract:

Asymptotically optimal codebooks are a family of codebooks that can approach an optimal codebook meeting the Welch bound when the lengths of codewords are large enough. They can be constructed easily and are a good alternative for optimal codebooks in many applications. In this paper, we construct a new class of asymptotically optimal codebooks by using the product of some special finite fields and almost difference sets, which are composed of cyclotomic classes of order eight.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8708161

DOI: 10.1155/2019/8708161

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