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 + x4 + x² + x + 1, and g(x) = x² + x³ + x4 + x³ + x² + x + 1, what is p(x)/q(x)? = x² + x³ + x² + x + 1, and g(x) = x² + b) If p(x) = x² + 1, what is p(x)/q(x)?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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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