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arXiv · 1303.6378

Linear complexity of generalized cyclotomic sequences of order 4 over F_l

Yuhua Sun·Yang Yan·Fei Li·Tongjiang Yan·Hui Li
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Abstract

Generalized cyclotomic sequences of period pq have several desirable randomness properties if the two primes p and q are chosen properly. In particular,Ding deduced the exact formulas for the autocorrelation and the linear complexity of these sequences of order 2. In this paper, we consider the generalized sequences of order 4. Under certain conditions, the linear complexity of these sequences of order 4 is developed over a finite field F_l. Results show that in many cases they have high linear complexity.

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Yuhua Sun, Yang Yan, Fei Li, Tongjiang Yan, Hui Li. 2013-03-26. Linear complexity of generalized cyclotomic sequences of order 4 over F_l. https://arxiv.org/abs/1303.6378

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