Remarks on a cyclotomic sequence

Meidl, Wilfried (2009) Remarks on a cyclotomic sequence. Designs, Codes, and Cryptography, 51 (1). pp. 33-43. ISSN 0925-1022 (Print) 1573-7586 (Online)

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Official URL: http://dx.doi.org/10.1007/s10623-008-9241-3


We analyse a binary cyclotomic sequence constructed via generalized cyclotomic classes by Bai et al. (IEEE Trans Inforem Theory 51: 1849-1853, 2005). First we determine the linear complexity of a natural generalization of this binary sequence to arbitrary prime fields. Secondly we consider k-error linear complexity and autocorrelation of these sequences and point out certain drawbacks of this construction. The results show that the parameters for the sequence construction must be carefully chosen in view of the respective application.

Item Type:Article
Uncontrolled Keywords:Cyclotomic sequence; Linear complexity; Autocorrelation; Generalized cyclotomic classes; Stream cipher
ID Code:11481
Deposited By:Wilfried Meidl
Deposited On:29 Apr 2009 10:11
Last Modified:22 Jul 2019 15:53

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