• Title/Summary/Keyword: Niho's theorem

Search Result 1, Processing Time 0.018 seconds

NEW FAMILY OF BINARY SEQUENCES WITH FOUR-VALUED CROSS-CORRELATION

  • Kim, Han-Doo;Cho, Sung-Jin;Kwon, Min-Jeong;Choi, Un-Sook
    • East Asian mathematical journal
    • /
    • v.29 no.5
    • /
    • pp.529-536
    • /
    • 2013
  • 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.