Your task is to compute the S-Box, i.e., the ByteSub, values for the input bytes 29, F3 and 01, where each byte is given in hexadecimal notation.

1. First, look up the inverses using Table 4.2 to obtain values B. Now, perform the affine mapping by computing the matrixvector multiplication and addition.

2. Verify your result using the S-Box Table 4.3. 3. What is the value of S(0)?

Table 4.2 Multiplicative inverse table in GF(2) for bytes ry used within the AES S-Box 123456789ABCD C7 7B DI E8 49 2 21 6E 5A Pl 55 4DA8 C9 C1 0A 98 15 30 44 A2 C2 3 2C 45 92 6C F3 39 66 42 F2 35 20 6 77 88 59 19 4 1D FE 37 67 2D 31 F5 69 A7 64 AB 13 54 25 E9 09 5|ED 5C 05 4C 24 87 B 18 3 22 PO 51 EC 61 17 6 16 5E AF D3 49 A6 36 43 F4 47 91 DF 33 93 21 3B 7 79 B7 97 85 10 B5 BA 3C B6 70 DO 06 A1 FA 81 82 9 DE 6A 32 6D D8 8A 84 72 2A 14 9F 88 F9 DC 89 9A A FB 7C 2E C3 8F B8 65 48 26 C8 12 4A CE E7 D2 62 B10C 0 1PEP 11 75 78 71 A5 8 76 3D BD BC 86 57 C10B 28 2 A3DA D4 E4 O A92753041B PC AC E6 F 5B 23 38 34 68 46 03 8C DD 9C 7D AO CD 1A 41 1C Table 4.2 Multiplicative inverse table in GF(2) for bytes ry used within the AES S-Box 123456789ABCD C7 7B DI E8 49 2 21 6E 5A Pl 55 4DA8 C9 C1 0A 98 15 30 44 A2 C2 3 2C 45 92 6C F3 39 66 42 F2 35 20 6 77 88 59 19 4 1D FE 37 67 2D 31 F5 69 A7 64 AB 13 54 25 E9 09 5|ED 5C 05 4C 24 87 B 18 3 22 PO 51 EC 61 17 6 16 5E AF D3 49 A6 36 43 F4 47 91 DF 33 93 21 3B 7 79 B7 97 85 10 B5 BA 3C B6 70 DO 06 A1 FA 81 82 9 DE 6A 32 6D D8 8A 84 72 2A 14 9F 88 F9 DC 89 9A A FB 7C 2E C3 8F B8 65 48 26 C8 12 4A CE E7 D2 62 B10C 0 1PEP 11 75 78 71 A5 8 76 3D BD BC 86 57 C10B 28 2 A3DA D4 E4 O A92753041B PC AC E6 F 5B 23 38 34 68 46 03 8C DD 9C 7D AO CD 1A 41 1C