Linear complexity of a type of clock-controlled sequence

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Linear complexity of a type of clock-controlled sequence

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© The Institution of Electrical Engineers
Published

A new type of cascaded clock-controlled system is proposed. There are r + 1 linear feedback shift registers (LFSRs) of length n in the system if the degree of cascade connection is r. It is proved that for an rth degree cascade the output sequences have linear complexity n σri=0 (2n − 1)i. period (2n −1)r+1 and good statistical properties. Such a model can generate key stream sequences of stream ciphers in computer applications.

Inspec keywords: shift registers; clocks; binary sequences; cryptography

Other keywords: key stream sequences; output sequences; linear complexity; linear feedback shift registers; statistical properties; clock-controlled sequence; stream ciphers

Subjects: Switching theory; Data security

References

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      • R. Lidl , H. Niederreiter . (1983) , Finite fields.
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      • J.D. Golifć , M.V. Zivkovlfć . On the linear complexity of nonuniformly decimated PN-sequences. IEEE Trans. , 5
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      • Luooeng Hua . (1979) , Introduction to number theory.
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      • Liu, Xian, Xiao, Guozhen: `Analysis of (k', Proc. of ASIACRYPT 91, November 1991, Fujiyoshida, Japan.
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