有限域GF(<i>p</i><sup><i>m</i></sup>)(<i>P</i> ≥ 3)上3<i>p</i><sup><i>1</i></sup>、<i>p</i><sup><i>l</i>+1</sup>、<i>p</i>3次方程的根

有限域GF(p^m)(P ≥ 3)上3p¹、p^l+1、p3次方程的根

Roots of Equations of Degrees 3p^l,p^l+1p,3 Over Finite Field GF(p^m)(p≥3)

摘要: 提出了GF(3^m)上3次方程根的判别方法,讨论了有限域GF(p^m)(p ≥ 3)上3p_l次方程根的状况,给出了GF(p^m)上p次和p_l+1次方程根的判别方法.

Abstract: A method for dishngushing the root of an equation of degree 3 over finite field GF(3^m) is suggested and the state of root of equation of degree 3p^l overfinite field GF(p^m)(p≥3) is discussed. The method for distingushing the roots of degree p and p^l+1 over GF(p^m) is also discussed.

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