deletions | additions       diff --git a/section_Bytes_The_polynomials_in__.tex b/section_Bytes_The_polynomials_in__.tex  index 01c8d5b..267643f 100644  --- a/section_Bytes_The_polynomials_in__.tex  +++ b/section_Bytes_The_polynomials_in__.tex 
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A \,=\, \{ \textrm{remainders by } g \} \,.  $  For this particular $g$, we have $A =\{0,1,x,x+1\}$.   We want to show that $A$ is a field. We recall the definition of field, namely that $A$ is should satisfy the following properties  \begin{itemize}  \item[i)] $A$ is  an abelian group w.r.t. the sum of polynomials; \item[ii)] $A\setminus\{0\}$ is an abelian group w.r.t. the product of polynomials;  \item[iii)] $(f+g)\cdot h=fh+gh$, for any $f,g,h \in A$.  \end{itemize}