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Volume 20 Issue 3
May  1998
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Sun Wei, Yang Yixian. CONSTRUCTION OF A FAMILY OF BINARY QF SEQUENCES WITH HIGH LINEAR SPAN[J]. Journal of Electronics & Information Technology, 1998, 20(3): 336-341.
Citation: Sun Wei, Yang Yixian. CONSTRUCTION OF A FAMILY OF BINARY QF SEQUENCES WITH HIGH LINEAR SPAN[J]. Journal of Electronics & Information Technology, 1998, 20(3): 336-341.

CONSTRUCTION OF A FAMILY OF BINARY QF SEQUENCES WITH HIGH LINEAR SPAN

  • Received Date: 1997-01-15
  • Rev Recd Date: 1997-08-28
  • Publish Date: 1998-05-19
  • A family of binary QF sequences are constructed and their periods, size of the family, correlation functions and linear span are given, which shows that Cmax= qn/2+1+1,Lmax= m(3n/2)m-1 when n is even, Cmax= qn/2+3/2+1,Lmax= 2m-1mnm-1 when n is odd.
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  • Scholtz R A, Welch L R. GMW sequences. IEEE Trans. on Inform. Theory, 1984, IT-30(3): 548-553.[2]Klapper A, Chan A H, Goresky M. Cascaded GMW sequences. IEEE Trans. on Inform. Theory, 1993, IT-39(1): 177-183.[3]Olsen J D, Scholtz R A, Welch L R. Bent-function sequences. IEEE Trans. on Inform. Theory, 1982, IT-28(6): 858-864.[4]No J, Kumar P V. A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span. IEEE Trans. on Inform. Theory, 1989, IT-35(2): 371-379.[5]Klapper A, Chan A H, Goresky M. Cross-correlations of linearly and quadratically related geo-metric sequences and GMW sequences[J].Discrete Appl. Math.1993, 46:1-20[6]Klapper A. Large families of sequences with near-optimal correlations and large linear span. IEEE Trans. on Inform. Theory, 1996, IT-42(4): 1241-1248.[7]Klapper A. d-form sequences: Families of sequences with low correlation values and large linear span, IEEE Trans. on Inform. Theory, 1995, IT-41(2): 423-431.[8]Lid] R, Niederreiter H. Finite Fields. Encyclopedia of Mathematics 20, Cambridge, 1983.[9]Klapper A, Cross-correlations of geometric sequences in characteristic two. Designs, Codes.[J]. and Cryptography.1993,vol.3:347-[10]Jacobson N. Lectures in Abstract Algebra. Springer-Verlag, GTM 31, 1957.
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