<![CDATA[Let  is finite field with  elements, denoted by . If  be an extension field of  and  is the algebra element of , then , polynomial of  of smallest degree such that  called minimal polynomial of . If  is primitive element, then  whose called primitive polynomial, is the minimal polynomial of  whose generate the elements of .The minimal polynomial of  whose generate the elements of  is the factor of , because the elements of  are the solution of . So, if  and  are known we have . If we factoring it, will be obtained , the minimal polynomial of  whose generate the elements of , where  is some irreducible factor in  of degree  that contain a primitive element.  ]]>
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