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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) 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) = x³, what is p(x) q(x) modulo P? %3D d) If p(x) = x³ + 1 and q(x) = x³ , what is p(x) · q(x) modulo P?

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) = x³, what is p(x) q(x) modulo P? %3D d) If p(x) = x³ + 1 and q(x) = x³ , what is p(x) · q(x) modulo P?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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) 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?
Transcribed Image 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?
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