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Generalized self-shrinking generator

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2 Author(s)
Yupu Hu ; ISN Nat. Key Lab., Xidian Univ., Xi''an, China ; Guozhen Xiao

In this correspondence, we present a simple bit-stream generator. It is a specialization of shrinking generator and a generalization of self-shrinking generator. We call it "generalized self-shrinking generator." The family of such generated sequences has a group structure. The correlation between the sequences is quite good and the sequences themselves are balanced. For each k, 0n-k of the sequences have least periods less than 2k. No more than 1/4 of the sequences have least periods less than 2n-1. There are two sequences with least periods of 2. There is no sequence with a least period p such that 2

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Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 4 )