Factorization of composite polynomials over finite fields (Q2862265)
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scientific article; zbMATH DE number 6227142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization of composite polynomials over finite fields |
scientific article; zbMATH DE number 6227142 |
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14 November 2013
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Galois fields
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irreducible polynomials
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composition method
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0.99398637
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0.9671072
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0.9660388
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0.9660388
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0.96003324
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0.9595072
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0.9585014
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0.9557338
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Factorization of composite polynomials over finite fields (English)
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The author studies the reducibility of the composition polynomial NEWLINE\[NEWLINE F(x)=(dx^q-rx+h)^nP\left(\frac{ax^q-bx+c}{dx^q-rx+h}\right) NEWLINE\]NEWLINE for certain cases of \(a\), \(b\), \(c\), \(d\), \(r\), and \(h\) where \(P\) is an irreducible polynomial of degree \(n\) over \(\mathbb{F}_q\).
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