this is for holding javascript data
Michela Ceria edited bits3.tex
over 7 years ago
Commit id: 65d007da7bc84e149306c80eff404fe1f2c54c2e
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index 16c35d3..9021afd 100644
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We notice the following facts:
\begin{itemize}
\item performing the algorithm
a (a finite number of
times times) we get again the initial vector $(1,0,1)$
\item only the numbers $1,2,3,4,5,6,7$ can be written using three bits not all zero and, performing the algorithm, we found all these numbers. This is not true in general. The feedback polynomials for which this property holds is called \emph{primitive}.
\end{itemize}
\begin{Example}
We see now an example of
non primitive non-primitive polynomial. Let us consider $f=x^3+1$ and we start again from $(1,0,1)$, and we perform the algorithm
\begin{center}
\begin{tabular}{ |c || c | c | c |}
\hline