Polynomarithmetik im endlichen Körper GF(2⁷)
Gegeben sei das irreduzible Polynom: \(x^7 + x + 1\). Berechnen Sie jeweils das Ergebnis:
Addition: \((x^3 + x + 1) + (x^4 + x)\)
Multiplikation: \((x^3 + x + 1) \times (x^2 + 1)\)
Multiplikation: \((x^6) \times (x^5)\)
Multiplikation: \((x^5 + x^3) \times (x^4 + x + 1)\)
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