On some classes of nonlinear shift registers with the same cyclic structure
The paper is devoted to investigating the cyclic structure of an autonomous automaton R(t) = R(Gn , δ ƒ) named a shift register with feedback function ƒ, ƒ : Gn → G, and transition function δ ƒ (y 1, y 2, . . . , yn ) = (y 2, y 3, . . . , yn , ƒ(y 1, y 2, . . . , yn )). An important problem in this...
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| Veröffentlicht in: | Discrete mathematics and applications 2010-05, Vol.20 (2), p.127-155 |
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| container_title | Discrete mathematics and applications |
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| creator | Rozhkov, M. I. |
| description | The paper is devoted to investigating the cyclic structure of an autonomous automaton R(t) = R(Gn , δ ƒ) named a shift register with feedback function ƒ, ƒ : Gn → G, and transition function δ ƒ (y 1, y 2, . . . , yn ) = (y 2, y 3, . . . , yn , ƒ(y 1, y 2, . . . , 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 2 n or 2 n – 1. |
| doi_str_mv | 10.1515/dma.2010.008 |
| format | Article |
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| source | De Gruyter journals |
| title | On some classes of nonlinear shift registers with the same cyclic structure |
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