East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NEW FAMILY OF BINARY SEQUENCES WITH FOUR-VALUED CROSS-CORRELATION

  • Kim, Han-Doo (Institute of Basic Science and Department of Applied Mathematics, Inje University) ;
  • Cho, Sung-Jin (Department of Applied Mathematics, Pukyong National University) ;
  • Kwon, Min-Jeong (Department of Applied Mathematics, Pukyong National University) ;
  • Choi, Un-Sook (School of Free Major, Tongmyoung University)
  • Received : 2012.12.14
  • Accepted : 2013.11.20
  • Published : 2013.11.30
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Abstract

In this paper, we find the values and the number of occurrences of each value of the cross-correlation function $C_d({\tau})$ when $d=\frac{2^{k-1}}{2^s-1}(2^{k(i+1)}-2^{ki}+2^{s+1}-2^k-1)$, where n = 2k, s is an integer such that 2s divides k, and i is odd.

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References

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