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b) If p(x) = x² + x³ + x² + x + 1, and g(x) = x² + x¹ + x² + 1, what is p(x)/q(x)?

b) If p(x) = x² + x³ + x² + x + 1, and g(x) = x² + x¹ + x² + 1, what is p(x)/q(x)?

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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Please answer part b only using the galois field. Thank you

This question concerns the field GF(256). The modulus is P(x) = x³ + x² + x³ + x + 1. For computing inverses in this field, you should use the table in the textbook. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x¹ + x² + x + 1, and g(x) = x² + x³ + x² + x³ + x² + x + 1, what is p(x)/q(x)? b) If p(x) = x² + x³ + x² + x + 1, and q(x) = x² + x4 + x² + 1, what is p(x)/q(x)?
Transcribed Image Text:This question concerns the field GF(256). The modulus is P(x) = x³ + x² + x³ + x + 1. For computing inverses in this field, you should use the table in the textbook. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + x¹ + x² + x + 1, and g(x) = x² + x³ + x² + x³ + x² + x + 1, what is p(x)/q(x)? b) If p(x) = x² + x³ + x² + x + 1, and q(x) = x² + x4 + x² + 1, what is p(x)/q(x)?
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