Question
a) Considering the bytes 10001001 and 10101010 as elements of the g(X)) is the polynomia
find their product and quotient.
Answer :
Word Count : 127
We are asked to multiply and divide two bytes in the finite field $$ \mathbb{F}_2[X]/(g(X)), \quad \text{where } g(X) = X^8 + X^4 + X^3 + X + 1 $$ and _________ ____ ___ ____ ______ _______ ____ _______.
_______ ________ _________ _______ ____.
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____ ________ _____ _____ ________ ___.
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____ ___ ________ __________ _____ _________ ________.
____ ______ ___ ___ _______ ___ _____ _________.
_____ ____ _________ _________ ___ ____ ___ __________ __________ _________ _____ _____.
__________ _________ __________ ____ _______.
__________ ______ ___ ____ _____ _________ _________ ____.
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We are asked to multiply and divide two bytes in the finite field $$ \mathbb{F}_2[X]/(g(X)), \quad \text{where } g(X) = X^8 + X^4 + X^3 + X + 1 $$ and _________ ____ ___ ____ ______ _______ ____ _______.
_______ ________ _________ _______ ____.
_______ ________ __________ __________ __________ ____ _________ _______ _________ ____ ___.
_____ ______ _________ _______ ____ __________ ______ ______.
____ ________ _____ _____ ________ ___.
__________ __________ ____ _________ ________ ____ _____ ________.
_____ ___ ____ ________ _________ ___ ___ ___ _________ ______.
____ ___ ________ __________ _____ _________ ________.
____ ______ ___ ___ _______ ___ _____ _________.
_____ ____ _________ _________ ___ ____ ___ __________ __________ _________ _____ _____.
__________ _________ __________ ____ _______.
__________ ______ ___ ____ _____ _________ _________ ____.
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