Compute the output of the mix colum layer for given input b

Question

Problem

Let's assume input to the mix Colum layer of AES is B=(88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88) where each byte is in hexadecimal notation. Compute the output of the mix Colum layer for the given input B. Remember multiplication in AES happens in GF(2⁸) and addition/subtraction in GF(2) fields. The modular reduction polynomial used by AES is p(x)= x⁸+x⁴+x²+x+1