| Based on Trace functions and m-sequences, the GMW sequences and Component sequences which have good properties are obtained by different construction in this paper. Firstly, according to the subfield factorization of sequences and the relationship which is between orthogonality and two level autocorrelation, two constructions of GMW sequences are achieved. Furthermore, the properties of such sequences is studied. The GMW sequences have long period, two level correlation and high linear complexity.Secondly, the Component sequences are studied. We analyse their structure and properties. Based on the obtained results, the properties of period, correlation and linear complexity are obtained. The construction of Component sequences is achieved.In this paper, two sequences which have good randomness properties, high linear complexity and the two level correlation are obtained. These results has important practical application value... |
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