This question concerns the field GF(16). The modulus is P(x) = x* + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x and q(x) = x', what is p(x) + q(x)...

This question concerns the field GF(16). The modulus is P(x) = x* + x + 1.<br>Please answer the following questions about arithmetic in this field.<br>a) If p(x) = x² + x and q(x) = x', what is p(x) + q(x) modulo P?<br>b) If p(x)<br>= 1 and q(x) = 0, what is p(x) + q(x) modulo P?<br>c) If p(x) = x + x² + 1 and q(x) = x', what is p(x) · q(x) modulo P?<br>d) If p(x) = x' + 1 and q(x) = x, what is p(x) · q(x) modulo P?<br>

Extracted text: This question concerns the field GF(16). The modulus is P(x) = x* + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x and q(x) = x', what is p(x) + q(x) modulo P? b) If p(x) = 1 and q(x) = 0, what is p(x) + q(x) modulo P? c) If p(x) = x + x² + 1 and q(x) = x', what is p(x) · q(x) modulo P? d) If p(x) = x' + 1 and q(x) = x, what is p(x) · q(x) modulo P?

Jun 07, 2022

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This question concerns the field GF(16). The modulus is P(x) = x* + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x and q(x) = x', what is p(x) + q(x)...

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