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Multiply 00100110 by 10011110 in GF(2^8) with modulus 100011011.The result is

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Multiply 00100110 by 10011110 in GF(2^8) with modulus 100011011.The result is

(a) 00101111

(b) 00101100

(c) 01110011

(d) 11101111

I have been asked this question during an interview.

This interesting question is from Polynomial and Modular Arithmetic- III in section Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

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Correct option is (a) 00101111

To explain I would say: On performing polynomial multiplication with respect to modulus 100011011 we get 00101111.

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