Normal Elements using Trace Mapping over Finite Fields
نویسندگان
چکیده
منابع مشابه
Normal bases and primitive elements over finite fields
Let q be a prime power, m ≥ 2 an integer and A = ( a b c d ) ∈ GL2(Fq), where A 6= ( 1 1 0 1 ) if q = 2 and m is odd. We prove an extension of the primitive normal basis theorem and its strong version. Namely, we show that, except for an explicit small list of genuine exceptions, for every q, m and A, there exists some primitive x ∈ Fqm such that both x and (ax+b)/(cx+d) produce a normal basis ...
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ژورنال
عنوان ژورنال: International Journal of Computer Applications
سال: 2018
ISSN: 0975-8887
DOI: 10.5120/ijca2018916328