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This question concerns the field GF(16). The modulus is P() = x +a +L %3D Please answer the following questions about arithmetic in this field. a) If p(a) a++1, what isp(x) modulo P? %3D b) If p(z) = a+, what isp(x) modulo P? c) If p(a) a + a, what is p(æ) modulo P? %3D d) If p(x) = 22 +1, what is p() modulo P?

This question concerns the field GF(16). The modulus is P() = x +a +L %3D Please answer the following questions about arithmetic in this field. a) If p(a) a++1, what isp(x) modulo P? %3D b) If p(z) = a+, what isp(x) modulo P? c) If p(a) a + a, what is p(æ) modulo P? %3D d) If p(x) = 22 +1, what is p() 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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This question concerns the field GF(16). The modulus is P(r) r+z+ 1. %3D Please answer the following questions about arithmetic in this field. a) If p(x) = ++1, what is p(x) modulo P? b) If p(x) = x° + x, what is p(x) modulo P? c) If p(x) = a +a2, what is p (2) modulo P? d) If p(x) = x2 + 1, what is p (x) modulo P? Hint: The inverse of each polynomial appears in another sub-part of the question
Transcribed Image Text:This question concerns the field GF(16). The modulus is P(r) r+z+ 1. %3D Please answer the following questions about arithmetic in this field. a) If p(x) = ++1, what is p(x) modulo P? b) If p(x) = x° + x, what is p(x) modulo P? c) If p(x) = a +a2, what is p (2) modulo P? d) If p(x) = x2 + 1, what is p (x) modulo P? Hint: The inverse of each polynomial appears in another sub-part of the question
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