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This question is concerning the Advanced Encryption Standard (AES). (a) The field Z2/(x + x + x + x + 1) is essential in the S-boxes of AES. State the cardinality of Z2/(x8 + x4 + x + x + 1) (b) Show that x2 and x + x6 + x + x + 1 are multiplicative inverses in Z2/(x + x + x + x + 1). This question is concerning the Advanced Encryption Standard (AES). (a) The field Z2/(x + x + x + x + 1) is essential in the S-boxes of AES. State the cardinality of Z2/(x8 + x4 + x + x + 1) (b) Show that x2 and x + x6 + x + x + 1 are multiplicative inverses in Z2/(x + x + x + x + 1)