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The S-box value for byte stored in cell (6,D)

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The S-box value for byte stored in cell (6,D)

(a) 0x3C

(b) 0x7F

(c) 0xFD

(d) 0x4A

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This key question is from The AES Algorithm topic in division Advanced Encryption Algorithm and Block Cipher Operation of Cryptograph & Network Security

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Correct option is (a) 0x3C

To explain: We first find the multiplicative inverse of 0x6D. The multiplicative inverse of 0x6D is 0x93. On performing the transformation on 0x93 we get 0x3C.

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