Linear Complexity of Quaternary Sequences Generated Using Generalized Cyclotomic Classes Modulo 2p

Xiaoni Du, Zhixiong Chen · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2011

Let p be an odd prime number. We define a family of quaternary sequences of period 2p using generalized cyclotomic classes over the residue class ring modulo 2p. We compute exact values of the linear complexity, which are larger than half of the period. Such sequences are ‘good’ enough from the viewpoint of linear complexity.

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