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

Author

Listed:
  • Wanfeng Qi
  • Yueying Song
  • Rui Ma
  • Lingli Tang
  • Qian Wang

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.

Suggested Citation

  • Wanfeng Qi & Yueying Song & Rui Ma & Lingli Tang & Qian Wang, 2019. "New Constructions of Asymptotically Optimal Codebooks via Cyclotomic Classes of Order 8," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-8, March.
    • Handle: RePEc:hin:jnlmpe:8708161
    DOI: 10.1155/2019/8708161
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