Six constructions of asymptotically optimal codebooks via the character sums

@article{Lu2019SixCO,
  title={Six constructions of asymptotically optimal codebooks via the character sums},
  author={Wenlong Lu and Xia Wu and Xiwang Cao and Ming Chen},
  journal={Designs, Codes and Cryptography},
  year={2019},
  volume={88},
  pages={1139-1158}
}
  • W. LuXia Wu Ming Chen
  • Published 1 November 2019
  • Computer Science, Mathematics
  • Designs, Codes and Cryptography
In this paper, using additive characters of finite field, we find a codebook which is equivalent to the measurement matrix in Mohades et al. (IEEE Signal Process Lett 21(7):839–843, 2014). The advantage of our construction is that it can be generalized naturally to construct the other five classes of codebooks using additive and multiplicative characters of finite field. We determine the maximum cross-correlation amplitude of these codebooks by the properties of characters and character sums… 

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