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Factorization of a special polynomial over a finite field
1970
Pacific Journal of Mathematics
Preserved Fulltext
Let q = p z , where p is a prime and z ^ 1, and put r = q n , n^l. Consider the polynomial Mills and Zierler proved that, for q = 2, the degree of every irreducible factor of Fix) over GF(2) divides either 2n or 3n. We shall show that, for arbitrary q, the degree of every irreducible factor of F(x) over GF(g) divides either 2n or 3n. We shall follow the notation of Mills and Zierler [1]. Put
doi:10.2140/pjm.1970.32.603
fatcat:7dhiqhsnabfupddvf4soi4xtmq