Geodesic
On the estimation of the periods of noisy binary periodic sequences
Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 24-32.

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For estimation of the lengths of periods of noisy binary sequences we suggest and investigate statistics equal to the logarithm of the goodness-of-fit functions and functions close to them. 
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M. I. Tikhomirova; V. P. Chistyakov. On the estimation of the periods of noisy binary periodic sequences. Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 24-32. http://geodesic.mathdoc.fr/item/DM_2009_21_3_a2/

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[2] Kharin Yu. S., Bernik V. I., Matveev G. V., Agievich S. V., Matematicheskie i kompyuternye osnovy kriptografii, Novoe znanie, Minsk, 2003