A Special Generalized Self-shrinking Sequence

In this paper, we present a new Generalized self-shrinking generator on GF(3). It's the output rules that if a_k = 1,the generator outputs the v_k ; else if a_k = 2,the generator outputs the V_k+1; otherwise,the generator no outputs any one.The paper gives the least period ,the linear complexity of the new sequence,and the group structure and cross-correlation feature of the new sequence family.Futher,we present a new Generalized self-shrinking generator on GF(q).lVs the output rules of Generalized self-shrinking generator on GF(q) that if a_k =x₀, the generator outputs the v_k; else if a_k = x₁, the generator outputs the v_k+1; otherwise,the generator no outputs any one. It is shown that the new sequence has a huge period , a high linear complexity and a good cross-correlation feature . At last, we give the model and feature of the new Generalized self-shrinking generator developed on GF(3) and GF(q).