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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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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