Please suggest how can i solve the below question

What is the inverse of {03} in GF (2^8) with the irreducible polynomial x8+x4+x3+x+1?


Could you please describe what are the difficulties you are encountering?

Anyway, the polynomial mentioned is the one used for the AES cipher and I suggest you to read this specification (especially the section 4 which explains briefly the mathematical background).

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