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Nonsingularity Decision of Trivium-Like Cascade Connection of Feedback Shift Registers

WANG Qiu-yan;JIN Chen-hui;Information Engineering University;  
Stream cipher Trivium is a hardware-oriented finalist of the eSTREAM project. This paper analyzes the nonsingularity of Trivium-like cascade connection of feedback shift registers,shows the sufficient condition for the nonsingularity of such word-oriented feedback shift register,presents the necessary and sufficient condition for the nonsingularity of such bit-oriented feedback shift register,and proves that the state update transformations of Trivium cipher in initialization phase and keystream generation phase are both bijective.
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