LINEAR MAPS GIVEN BY QUADRATIC POLYNOMIALS

Atsanon Wadsanthat, Chatchawan Panraksa, Wittawat Kositwattanarerk.

Abstract


Quadratic maps of a specific type, defined on finite fields of charac teristic two, are studied in terms of conjugacy maps, tree structures, and periodic points. In terms of conjugacy, it is found that conjugate field elements yield conjugate maps. Convenient bases for the sets of nilpotent and periodic points are determined separately. From these bases, various
previous results are obtained with little reliance on matrix-based methods, allowing more efficient methods to be implemented as they arise.


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