An extension of binary cyclotomic sequences having order 2lt

Debashis Ghosh · Discrete Mathematics Algorithms and Applications · 2022

Several reasonably cyclotomic sequences are constructed by cyclotomic classes having good pseudo-randomness property. In this paper, we derive the linear complexity of an extended binary cyclotomic sequences of order [Formula: see text] over finite field having period [Formula: see text]. Our result shows that these sequences have higher linear complexity, which can resist linear attack.

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