Geodesic
Eisenstein's Criteria for Absolute Irreducibility Over a Finite Field
Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 575-580

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Let p denote a prime and n a positive integer. Write q = pn and let kq denote the Galois field with q elements. The unique factorization domain of polynomials in m(≤ 2) indeterminâtes x1,..., xq with coefficients in k is denoted by kq [x,..., xm. It is the purpose of this note to prove the foliowing generalization of Eisenstein's irreducibility criteria and to point out some of its consequences. 
Williams, Kenneth S. Eisenstein's Criteria for Absolute Irreducibility Over a Finite Field. Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 575-580. doi: 10.4153/CMB-1966-071-1
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     title = {Eisenstein's {Criteria} for {Absolute} {Irreducibility} {Over} a {Finite} {Field}},
     journal = {Canadian mathematical bulletin},
     pages = {575--580},
     year = {1966},
     volume = {9},
     number = {5},
     doi = {10.4153/CMB-1966-071-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-071-1/}
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