The Linear Complexity and Autocorrelation of Quaternary Whiteman's Sequences

Volume: 1 Number: 4 May 27, 2013
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The Linear Complexity and Autocorrelation of Quaternary Whiteman's Sequences

Abstract

We found the linear complexity of quaternary sequences of period over the ring Z_4 . The sequences are based on Whiteman's generalized cyclotomic classes of order four. Also we derived the maximum nontrivial autocorrelation magnitude of the constructed sequences.

Keywords

References

  1. E. Bai, X. Fu and G. Xiao, “On the linear complexity of generalized cyclotomic sequences of order four over ,” IEICE Trans. Fundamentals of Electronics, Communications and Computer Sciences, vol. E88-A(1), pp. 392-395, 2005.
  2. T. W. Cusick, C. Ding and A. Renvall, Stream Ciphers and Number Theory, Elsevier, Amsterdam, 1998.
  3. A. Çeçmelio lu and W. Meidl, “A general approach to construction and determination of the linear complexity of sequences based on cosets. Sequences and Their Applications - SETA 2010”, LNCS, vol. 6338, pp.125-138, 2010.
  4. Z. Chen and X. Du, “Linear complexity and autocorrelation values of a polyphase generalized cyclotomic sequence of length ”, Frontiers of Computer Science in China, vol. 4 (4), pp. 529-535, 2010.
  5. V. A. Edemskii, “ On the linear complexity of binary sequences on the basis of biquadratic and sextic residue classes,” Discret. Math. Appl., vol. 20(1), pp. 75–84, 2010 (Diskretn. Mat. 22(1), 74–82 (2010)).
  6. D. H. Green and P. R. Green, “Polyphase power-residue sequences”, Proc. R. Soc. Lond. A., vol. 459, pp. 817—827, 2003.
  7. D. H. Green, “Linear complexity of modulo-m power residue sequences”, IEE Proc., Comput. Digit. Tech., vol. 151 (6), pp. 385—390, 2004.
  8. L. Hu, Q. Yue and M. Wang, “The Linear Complexity of Whiteman's Generalized Cyclotomic Sequences of Period ”, IEEE Trans. Info. Theory, vol. 58 (8), pp. 5534 – 5543, 2012.

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

May 27, 2013

Submission Date

May 27, 2013

Acceptance Date

-

Published in Issue

Year 2013 Volume: 1 Number: 4

APA
Edemskiy, V. (2013). The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences. International Journal of Applied Mathematics Electronics and Computers, 1(4), 7-11. https://izlik.org/JA24KN93JJ
AMA
1.Edemskiy V. The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences. International Journal of Applied Mathematics Electronics and Computers. 2013;1(4):7-11. https://izlik.org/JA24KN93JJ
Chicago
Edemskiy, Vladimir. 2013. “The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences”. International Journal of Applied Mathematics Electronics and Computers 1 (4): 7-11. https://izlik.org/JA24KN93JJ.
EndNote
Edemskiy V (December 1, 2013) The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences. International Journal of Applied Mathematics Electronics and Computers 1 4 7–11.
IEEE
[1]V. Edemskiy, “The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences”, International Journal of Applied Mathematics Electronics and Computers, vol. 1, no. 4, pp. 7–11, Dec. 2013, [Online]. Available: https://izlik.org/JA24KN93JJ
ISNAD
Edemskiy, Vladimir. “The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences”. International Journal of Applied Mathematics Electronics and Computers 1/4 (December 1, 2013): 7-11. https://izlik.org/JA24KN93JJ.
JAMA
1.Edemskiy V. The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences. International Journal of Applied Mathematics Electronics and Computers. 2013;1:7–11.
MLA
Edemskiy, Vladimir. “The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences”. International Journal of Applied Mathematics Electronics and Computers, vol. 1, no. 4, Dec. 2013, pp. 7-11, https://izlik.org/JA24KN93JJ.
Vancouver
1.Vladimir Edemskiy. The Linear Complexity and Autocorrelation of Quaternary Whiteman’s Sequences. International Journal of Applied Mathematics Electronics and Computers [Internet]. 2013 Dec. 1;1(4):7-11. Available from: https://izlik.org/JA24KN93JJ