Given finite field GF(16), can you perform arithmetic operations on the elements of the field as integers from 0 to 15 mod 16, such as: 5*6 mod 16 =14? Explain

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 13E
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Given finite field GF(16), can you perform arithmetic operations on the elements of the field as integers from 0 to 15 mod 16, such as: 5*6 mod 16 =14? Explain
your answer.
Transcribed Image Text:Given finite field GF(16), can you perform arithmetic operations on the elements of the field as integers from 0 to 15 mod 16, such as: 5*6 mod 16 =14? Explain your answer.
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