Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm

الملخص EN

Sequences with high linear complexity property are of importance in applications.

In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed.

In addition, we determine their linear complexities over finite field F4 and over ℤ4, respectively.