Abstract
This paper presents an approach to the partial-linear realization of finite automata which is independent of the numerous publications on linear automata. Among other results this theory allows to describe more concisely the theory of families of shift-registers and to introduce generalized shift-register realizations. Though, for practical reasons, the discussions are restricted to the field GF (2), most of the results may be extended to arbitrary finite fields, some of them to finite rings with unit element.
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