| Polynomials over Finite Fields with the Commuting Diagram Properties |
| Received:June 21, 1994 Revised:April 18, 1996 |
| Key Words:
finite field polynomial digraph.
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| Abstract: |
We give explicit expressions for the general solutions of the polynomials f(x) over finite field Fｑ satisfying the condition f(g(x))≡h(f(x)) and give the counting formula for the number of such f(x) with deg fｑ and one of them is a permutation polynomial. This generalizes them ainresults in [3] and also generalizes the mainresults in [1] and [2] in the special cases where g(x) and h(x) are both linear polynomials. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1996.03.020 |
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