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Xiong, T. and Hall, J.I. (2008) Construction of Even Length Binary Sequences with Asymptotic Merit Factor 6. IEEE Transactions on Information Theory, 54, 931-935. https://doi.org/10.1109/tit.2007.913421

has been cited by the following article:

• TITLE: Binary Phase Shaping and SHG Contrast Ratios

  AUTHORS: Tingyao Xiong

  KEYWORDS: Binary Phase Shaping, Binary Sequences, SHG Contrast Ratio, Merit Factor

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.8, August 30, 2024

  ABSTRACT: Finding binary sequences with Large SHG ratios is very important in the field of ultrafast science, biomedical optics, high-resolution microscopy and label-free imaging. In this paper, we have demonstrated the relation between the SHG contrast ratio and the traditional Merit Factor values. And in the light from known results in Merit Factor Problems, we have shown that Legendre Sequences or Jacobi Sequences, are still the best candidates to obtain binary sequences with large SHG contrast ratios. The authors also discussed the SHG behaviors on some sequences obtained from cyclotomic classes over the finite field GF (2l) .