$Solutions of $x^{q^k}+\cdots+x^{q}+x=a$ in $GF{2^n}$$

Solutions of $x^{q^k}+\cdots+x^{q}+x=a$ in $GF{2^n}$

Though it is well known that the roots of any affine polynomial over a finite field can be computed by a system of linear equations by using a normal base of the field, such solving approach appears to be difficult to apply when the field is fairly large. Thus, it may be of great interest to find an...

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Veröffentlicht in:	arXiv.org 2019-05
Hauptverfasser:	Kwang Ho Kim, Choe, Jong Hyok, Dok Nam Lee, Dae Song Go, Mesnager, Sihem
Format:	Artikel
Sprache:	eng
Schlagworte:	Fields (mathematics) Linear equations Polynomials Quadratic equations Representations
Online-Zugang:	Volltext
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Solutions of \(x^{q^k}+\cdots+x^{q}+x=a\) in \(GF{2^n}\)