Visibly Irreducible Polynomials over Finite Fields
نویسندگان
چکیده
منابع مشابه
Irreducible Polynomials over Finite Fields
As we will see, modular arithmetic aids in testing the irreducibility of polynomials and even in completely factoring polynomials in Z[x]. If we expect a polynomial f(x) is irreducible, for example, it is not unreasonable to try to find a prime p such that f(x) is irreducible modulo p. If we can find such a prime p and p does not divide the leading coefficient of f(x), then f(x) is irreducible ...
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For a finite field GF(q) of odd prime power order q, and n > 1, we construct explicitly a sequence of monic irreducible reciprocal polynomials o f degree n2 m (m = 1, 2, 3 . . . . ) over GF(q). It is the analog for fields of odd order of constructions of Wiedemann and of Meyn over GF(2). We also deduce iterated presenn2** tations of GF(q ).
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2020
ISSN: 0002-9890,1930-0972
DOI: 10.1080/00029890.2020.1677103