Twisted Kummer and Kummer-Artin-Schreier theories
نویسندگان
چکیده
منابع مشابه
On the Bounded Sum-of-digits Discrete Logarithm Problem in Kummer and Artin-Schreier Extensions
In this paper, we study the discrete logarithm problem in the finite fields Fqn where n|q−1. The field is called a Kummer field or a Kummer extension of Fq. It plays an important role in improving the AKS primality proving algorithm. It is known that we can efficiently construct an element g with order greater than 2 in the fields. Let Sq(•) be the function from integers to the sum of digits in...
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The algebraic closure of R is C, which is a finite extension. Are there other fields which are not algebraically closed but have an algebraic closure which is a finite extension? Yes. An example is the field of real algebraic numbers. Since complex conjugation is a field automorphism fixing Q, and the real and imaginary parts of a complex number can be computed using field operations and comple...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2008
ISSN: 0040-8735
DOI: 10.2748/tmj/1215442871