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Everyone, I am now reading a paper named The Irreducible Factors of $(cx+d)x^{q^m}-(ax+b)$ over $GF(q)$, http://qjmath.oxfordjournals.org/content/14/1/61.extract. And I’m confused with one of its ...

I am not sure if I should ask this question here or somewhere else. Background: I was searching through random mathematics paper that are related to cryptography and I came across this paper (page 3)....

Let $\mathbb{F}_q$ be a finite field of characteristic $p$ and let $C$ be a plane projective nonsingular curve over $\mathbb{F}_q$ , with function field $K = \mathbb{F}_q(C)$. Let $K^p$ denote the ...