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Large Family of Quaternary Sequences with High Linear Complexity and Period \(p^nq^m\)

  • Vladimir Edemskiy,
  • Sergey Garbar

摘要

In this paper, we continue to study the linear complexity of new generalized cyclotomic sequences. The generalized cyclotomic classes modulo \(p^nq^m\) are used for the definition of these quaternary sequences. We develop the results obtained earlier for binary sequences and show that sequences under consideration have a high linear complexity.