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On some classes of nonlinear shift registers with the same cyclic structure
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M. I. Rozhkov
Published/Copyright:
May 31, 2010
Abstract
The paper is devoted to investigating the cyclic structure of an autonomous automaton R(t) = R(Gn, δƒ) named a shift register with feedback function ƒ, ƒ : Gn → G, and transition function δƒ (y1, y2, . . . , yn) = (y2, y3, . . . , yn, ƒ(y1, y2, . . . , yn)). An important problem in this field of investigation consists of constructing a nonlinear automaton R(ƒ) of a given cyclic structure, in particular, possessing a cycle of length 2n or 2n – 1.
Received: 2008-01-21
Published Online: 2010-05-31
Published in Print: 2010-May
© de Gruyter 2010
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Articles in the same Issue
- On some classes of nonlinear shift registers with the same cyclic structure
- Asymptotic properties of multitype critical branching processes evolving in a random environment
- On probability of correction of a random number of errors in an error-correcting coding
- Poisson-type theorems for the number of special solutions of a random linear inclusion
- On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials
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