Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (4): 157-162.

• Scientific • Previous Articles     Next Articles

On the f-complexity and cross-correlation of some binary sequences

LIANG Jia-yi, XUE Pan   

  1. School of General Education, Xi’an Eurasia University, Xi’an 710065, China
  • Received:2021-10-08 Online:2022-08-28 Published:2022-10-09

Abstract: The binary sequences constructed using the Legendre symbols has strong pseudo-randomness. In this paper, based on Legendre symbol and the estimation of character sums of polynomials and exponential, two kinds of binary sequences families with good pseudo-randomness are constructed, both of which have great f-complexity and little cross-correlation measure.

Key words: binary sequence, Legendre symbols, f-complexity, cross-correlation measure

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