Some Results on Generalized Difference Sets (original) (raw)

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References

  1. R. Turyn and J. Storer, On binary sequences, Proc. Amer. Math. Soc., 1961, 12(3): 394–399.
    Article Google Scholar
  2. D. Jungnickel and A. Pott, Difference Sets, in an Introduction to Difference Sets, Sequences and Their Correlation Properties, Ed. by A. Pott, P. Kumer, T. Helleseth, and D. Jungnickel, Kluwer Academic Publishers, Netherlands, 259–295.
  3. S. P. Bradley and A. Pott, Existence and non-existence of almost perfect autocorrelations, IEEE Trans. Inf., 1995, 41(1): 301–304.
    Article Google Scholar
  4. A. Pott, Character Theory and Finite Geometry, Lecture Notes on Math. 1601, Springer-Verlag, Berlin, 1995.
  5. M. Liu and D. Lin, Enumeration of linear recurring _m_-arrays, Systems Sci. Math. Sci.,1991, 4(4): 368–373.
    Google Scholar
  6. X. W. Cao and W. S. Qiu, A note on perfect arrays, IEEE Signal Processing Lett., 2004, 11(4): 538–541.
    Article Google Scholar
  7. R. F. Brown and G. C. Goodwin, New class of pseudorandom binary sequences, IEE Electron. Lett., 1967, 3(5): 198–199.
    Article Google Scholar
  8. J. Wolfmann, Almost perfect autocorrelation sequence, IEEE Trans. Inform. Theor., 1992, 38(4): 1412–1418.
    Article Google Scholar
  9. X. Y. Zeng, L. Hu, and Q. C. Liu, A novel method for constructing almost perfect polyphase sequences, LNCS, 2006, 3969: 346–353.
    Google Scholar
  10. P. Langevin, Almost perfect binary sequences, Appl. Algebra in Eng. Commun. Comput., 1993, 4(4): 95–102.
    Article Google Scholar
  11. S. L. Ma, Partial difference sets, Discrete Math., 1984, 52(1): 73–89.
    Article Google Scholar
  12. J. A. Davis, Almost difference sets and reversible divisible difference sets, Arch. Math., 1992, 59(6): 595–602.
    Article Google Scholar
  13. K. T. Arasu, C. Ding, T. Helleseth, P. V. Kumar, and H. M. Martinsen, Almost difference sets and their sequences with optimal autocorrelations, IEEE Trans. IT, 2001, 47(7): 2934–2943.
    Article Google Scholar
  14. K. Ireland and M. Rosen, A Calssical Introduction to Modern Number Thoery, 2nd Edition, Springer, 1990, 272–273.
  15. R. C. Bose and W. S. Connor, Combinatorial properties of group divisible imcomplete block designs, Ann. Math., Statist., 1952, 23(3): 367–383.
    Article Google Scholar
  16. B. W. Jones, The Arithematic Theory of Quadratic Forms, Carus Mathematical Monography, Mathematical Association of America, New York, 1950, 10.
  17. H. J. Ryser, Variants of difference sets, Proc. Amer. Math., Soc., 1973, 41(1): 45–50.
    Article Google Scholar

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