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This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the ...

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Let ϕ (x) be an Eisenstein polynomial of degree n over a local field and let α be a root of ϕ (x). The Newton polygon of ρ (x) = ϕ (αx+α)/α n is called the ramification polygon of ϕ (x). We attach an ...