Using of Generalized Cyclotomy for Sequence Design over the Finite Field of Order Four with High Linear Complexity
نویسنده
چکیده
We consider the use of generalized Ding-Helleseth cyclotomy to design sequences over the finite field of order four. Using generalized cyclotomic classes of order four we obtain the family of balanced sequences of odd period with high linear complexity. Also we present a method of constructing sequences with high linear complexity and arbitrary even period over the finite field of order four. These sequences are obtained with generalized Ding-Helleseth cyclotomy of order two . We generalize design of the sequences over the finite field of order four proposed by P. Ke et al. and D. Li et al. Keywords—Linear complexity, finite field, sequences
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