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Likelihood that a pseudorandom sequence generator has optimal properties

Likelihood that a pseudorandom sequence generator has optimal properties

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The authors prove that the probability of choosing a nonlinear filter of m-sequences with optimal properties, that is, maximum period and maximum linear complexity, tends assymptotically to 1 as the linear feedback shift register length increases.

References

    1. 1)
      • B. Park , H. Choi , T. Chang , K. Kang . Period of sequences of primitive polynomials. Electron. Lett. , 4 , 390 - 392
    2. 2)
      • R.A. Rueppel , G. Simmons . (1991) Stream cipher, Contemporary cryptology: The science of information integrity.
    3. 3)
      • R. Lidl , H. Niederreiter . (1994) Introduction to finite fields and their applications.
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