Optimal and Asymptotically Optimal Codebooks as Regards the Levenshtein Bounds

Hong-Li WANG; Li-Li FAN; Gang WANG; Lin-Zhi SHEN

doi:10.1587/transfun.2020EAL2113

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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

Regular Section

Optimal and Asymptotically Optimal Codebooks as Regards the Levenshtein Bounds

Hong-Li WANG, Li-Li FAN, Gang WANG, Lin-Zhi SHEN

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Keywords: codebooks, maximal cross-correlation amplitude, Levenshtein bounds, (asymptotic) optimality, MUB, AMUB

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2021 Volume E104.A Issue 7 Pages 979-983

DOI https://doi.org/10.1587/transfun.2020EAL2113

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Abstract

In the letter, two classes of optimal codebooks and asymptotically optimal codebooks in regard to the Levenshtein bound are presented, which are based on mutually unbiased bases (MUB) and approximately mutually unbiased bases (AMUB), respectively.

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