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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

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?
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,