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This question concerns the field GF(16). The modulus is P(x) = x¹ + x +1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x + 1 and q(x) = x² + 1, what is p(x) + g(x) modulo P? X b) If p(x) x^2 c) If p(x) x^2 d) If p(x) = x + 1 and q(x) = x² + 1, what is p(x) · g(x) modulo P? x^2 = = x² + x and q(x) = x³ + x + 1, what is p(x) + g(x) modulo P? = = x³ + x² + 1 and q(x) = x³ + x, what is p(x) · g(x) modulo P?

This question concerns the field GF(16). The modulus is P(x) = x¹ + x +1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x + 1 and q(x) = x² + 1, what is p(x) + g(x) modulo P? X b) If p(x) x^2 c) If p(x) x^2 d) If p(x) = x + 1 and q(x) = x² + 1, what is p(x) · g(x) modulo P? x^2 = = x² + x and q(x) = x³ + x + 1, what is p(x) + g(x) modulo P? = = x³ + x² + 1 and q(x) = x³ + x, what is p(x) · g(x) modulo P?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Why my b,c,d wrong? Please give the correct answers

This question concerns the field GF(16). The modulus is P(x) = x¹ + x +1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x + 1 and q(x) = x² + 1, what is p(x) + g(x) modulo P? X b) If p(x) x^2 c) If p(x) x^2 d) If p(x) = x + 1 and q(x) = x² + 1, what is p(x) · g(x) modulo P? x^2 = = x² + x and q(x) = x³ + x + 1, what is p(x) + g(x) modulo P? = = x³ + x² + 1 and q(x) = x³ + x, what is p(x) · g(x) modulo P?
Transcribed Image Text:This question concerns the field GF(16). The modulus is P(x) = x¹ + x +1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x + 1 and q(x) = x² + 1, what is p(x) + g(x) modulo P? X b) If p(x) x^2 c) If p(x) x^2 d) If p(x) = x + 1 and q(x) = x² + 1, what is p(x) · g(x) modulo P? x^2 = = x² + x and q(x) = x³ + x + 1, what is p(x) + g(x) modulo P? = = x³ + x² + 1 and q(x) = x³ + x, what is p(x) · g(x) modulo P?
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