1. New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters.
- Author
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Heng, Ziling, Ding, Cunsheng, and Yue, Qin
- Subjects
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CODE division multiple access , *CHARACTERS of groups , *FINITE fields , *MATHEMATICAL bounds , *ALGEBRAIC coding theory , *ALGEBRAIC codes , *MATHEMATICAL models - Abstract
In practical applications, such as direct spread code division multiple access communications, space-time codes and compressed sensing, and codebooks with small inner-product correlation are required. It is extremely difficult to construct codebooks achieving the Levenshtein bound. In this paper, two new constructions of infinitely many codebooks with multiplicative characters of finite fields are presented. These constructions produce complex codebooks asymptotically achieving the Levenshtein bound and codebooks asymptotically achieving the Welch bound. The codebooks presented in this paper have new parameters. [ABSTRACT FROM PUBLISHER]
- Published
- 2017
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