Asymptotically Optimal Codebooks in Regard to the Welch Bound with Characters

Gang WANG; Min-Yao NIU; Lin-Zhi SHEN; You GAO

doi:10.1587/transfun.2020EAL2003

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

Asymptotically Optimal Codebooks in Regard to the Welch Bound with Characters

Gang WANG, Min-Yao NIU, Lin-Zhi SHEN, You GAO

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Keywords: codebooks, maximal cross-correlation amplitude, Welch bound, asymptotic optimality, additive character, multiplicative character

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2020 Volume E103.A Issue 11 Pages 1292-1295

DOI https://doi.org/10.1587/transfun.2020EAL2003

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Abstract

In this letter, motivated by the research of Tian et al., two constructions of asymptotically optimal codebooks in regard to the Welch bound with additive and multiplicative characters are provided. The parameters of constructed codebooks are new, which are different from those in the letter of Tian et al.

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