Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 11, Issue 3


Published
on


Pages

1861-1866


DOI

Article

On the linear complexity of a new class of binary cyclotomic sequences having order $2lt$


Authors

Debashis Ghosh Affiliation:
School of Applied Science and Humanities, Haldia Institute of Technology, Haldia, pin-721657 West Bengal, India
, Pranab Goswami Affiliation:
Department of Information Technology, Haldia Institute of Technology, Haldia, pin-721657 West Bengal, India
and Tauseef Khan Affiliation:
Department of Information Technology, Haldia Institute of Technology, Haldia, pin-721657 West Bengal, India


Abstract

Several reasonably cyclotomic sequences are constructed by cyclotomic classes with good pseudo-randomness property. During this paper, we derive the linear complexity of a new binary cyclotomic sequences of order $2lt$ over finite field having period $pq$. Our result shows that these sequences have high linear complexity, which can resist linear attack.


Keywords

Generalised cyclotomy, linear complexity, pseudo random sequence, stream cipher


Citation

Ghosh, D., Goswami, P., & Khan, T. (2020). On the linear complexity of a new class of binary cyclotomic sequences having order $2lt$. Turkish Journal of Computer and Mathematics Education, 11(3), 1861–1866.

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