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On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length 2pm

โœ Scribed by Pinhui Ke,Jie Zhang,Shengyuan Zhang

Book ID
126354364
Publisher
Springer
Year
2012
Tongue
English
Weight
211 KB
Volume
67
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES

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Linear Complexity of Generalized Cyclotomic Binary Sequences of Order 2
โœ Cunsheng Ding ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

There are several kinds of cyclotomic sequences. They have a number of good randomness properties. In this paper we calculate the linear complexity (linear span) of generalized cyclotomic binary sequences of order 2. Our results show that their linear complexity is quite good.

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This letter contributes to the investigation of the linear complexity of generalized cyclotomic sequences with the period p m , which are contained by the sequences constructed by C. Ding and T. Helleseth in 1998, as a representative special case. The results obtained confirm that all of these seque