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Advanced Encryption Standard (AES)

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Amir Masinaei

Slides for Advanced Encryption Standard (AES) Encryption & Decryption.

Engineering
1 of 44
3 ‫توجه‬:‫شد‬ ‫خواهید‬ ‫منتقل‬ ‫مربوطه‬ ‫اسالید‬ ‫به‬ ،‫عنوان‬ ‫روی‬ ‫بر‬ ‫کلیک‬ ‫با‬.
4 ‫رمز‬ ‫های‬‫سیستم‬ ‫متقارن‬ ‫ای‬‫دنباله‬ ‫قالبی‬ DES AES
5
6
7
8 ‫رمزگذار‬AES 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . Nr
9
10 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext 1 2 . . . 128 KeyExpansion
11
12 … 01 02 04 08 10 20 40 80 1b 36 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 09 cf 4f 3c 8a 84 eb 01 2b 7e 15 16 01 00 00 00 a0 fa fe 17 =
13 … 28 ae d2 a6 88 54 2c b1 = a0 fa fe 17 a0 fa fe 17
14 … 23 a3 39 39 = a0 fa fe 17 ab f7 15 88 88 54 2c b1 88 54 2c b1
15 … 2a 6c 76 05 = a0 fa fe 17 88 54 2c b1 09 cf 4f 3c 23 a3 39 39 23 a3 39 39
16 …
17 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
18 Add Round key
19 1 2 . . . 128 1. Sub byte 1. Sub byte Add Round key
20 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows
21 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns
22 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns
23 Add Round key 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns 4.Add Round key
24
25 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key
26 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
27 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
28 AES Structure
29
30 AES Inv S-Box
31
32
33 xy ?
34
35
36 AES S-Box
37 xy ?
38
39 AES Inv S-Box
40 𝑹𝑪 𝟏 ∶ 𝒙 𝟏−𝟏 = 𝒙 𝟎 𝒎𝒐𝒅 𝒑(𝒙) = 𝟏 → 𝟎𝟎𝟎𝟎 𝟎𝟎𝟎𝟏 → 𝟎𝟏 𝑹𝑪 𝟐 ∶ 𝒙 𝟐−𝟏 = 𝒙 𝟏 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 → 𝟎𝟎𝟎𝟎 𝟎𝟎𝟏𝟎 → 𝟎𝟐 𝑹𝑪 𝟑 ∶ 𝒙 𝟑−𝟏 = 𝒙 𝟐 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟐 → 𝟎𝟎𝟎𝟎 𝟎𝟏𝟎𝟎 → 𝟎𝟒 𝑹𝑪 𝟒 ∶ 𝒙 𝟒−𝟏 = 𝒙 𝟑 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟑 → 𝟎𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 → 𝟎𝟖 𝑹𝑪 𝟓 ∶ 𝒙 𝟓−𝟏 = 𝒙 𝟒 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟒 → 𝟎𝟎𝟎𝟏 𝟎𝟎𝟎𝟎 → 𝟏𝟎 𝑹𝑪 𝟔 ∶ 𝒙 𝟔−𝟏 = 𝒙 𝟓 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟓 → 𝟎𝟎𝟏𝟎 𝟎𝟎𝟎𝟎 → 𝟐𝟎 𝑹𝑪 𝟕 ∶ 𝒙 𝟕−𝟏 = 𝒙 𝟔 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟔 → 𝟎𝟏𝟎𝟎 𝟎𝟎𝟎𝟎 → 𝟒𝟎 𝑹𝑪 𝟖 ∶ 𝒙 𝟖−𝟏 = 𝒙 𝟕 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟕 → 𝟏𝟎𝟎𝟎 𝟎𝟎𝟎𝟎 → 𝟖𝟎 𝑹𝑪 𝟗 ∶ 𝒙 𝟗−𝟏 = 𝒙 𝟖 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟒 +𝒙 𝟑 + 𝒙 + 𝟏 → 𝟎𝟎𝟎𝟏 𝟏𝟎𝟏𝟏 → 𝟏𝑩 𝑹𝑪 𝟏𝟎 ∶ 𝒙 𝟏𝟎−𝟏 = 𝒙 𝟗 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟓 +𝒙 𝟒 +𝒙 𝟐 +𝒙 → 𝟎𝟎𝟏𝟏 𝟎𝟏𝟏𝟎 → 𝟑𝟔
41 01 02 04 08 10 20 40 80 1b 36 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
42
43
Advanced Encryption Standard (AES)

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Advanced Encryption Standard (AES)

  • 1.
  • 2.
  • 3. 3 ‫توجه‬:‫شد‬ ‫خواهید‬ ‫منتقل‬ ‫مربوطه‬ ‫اسالید‬ ‫به‬ ،‫عنوان‬ ‫روی‬ ‫بر‬ ‫کلیک‬ ‫با‬.
  • 5. 5
  • 6. 6
  • 7. 7
  • 8. 8 ‫رمزگذار‬AES 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . 128 1 2 . . . Nr
  • 9. 9
  • 10. 10 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext 1 2 . . . 128 KeyExpansion
  • 11. 11
  • 12. 12 … 01 02 04 08 10 20 40 80 1b 36 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 09 cf 4f 3c 8a 84 eb 01 2b 7e 15 16 01 00 00 00 a0 fa fe 17 =
  • 17. 17 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
  • 19. 19 1 2 . . . 128 1. Sub byte 1. Sub byte Add Round key
  • 20. 20 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows
  • 21. 21 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns
  • 22. 22 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns
  • 23. 23 Add Round key 1 2 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns 4.Add Round key
  • 24. 24
  • 25. 25 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key
  • 26. 26 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
  • 27. 27 1 2 . . . 128 1 2 . . . 128 Add Round key 1. Sub byte 2. Shift Rows 3. Mix Columns 4. Add Round key 1. Sub byte 2. Shift Rows 3. Add Round key Ciphertext
  • 29. 29
  • 30. 30 AES Inv S-Box
  • 31. 31
  • 32. 32
  • 34. 34
  • 35. 35
  • 38. 38
  • 39. 39 AES Inv S-Box
  • 40. 40 𝑹𝑪 𝟏 ∶ 𝒙 𝟏−𝟏 = 𝒙 𝟎 𝒎𝒐𝒅 𝒑(𝒙) = 𝟏 → 𝟎𝟎𝟎𝟎 𝟎𝟎𝟎𝟏 → 𝟎𝟏 𝑹𝑪 𝟐 ∶ 𝒙 𝟐−𝟏 = 𝒙 𝟏 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 → 𝟎𝟎𝟎𝟎 𝟎𝟎𝟏𝟎 → 𝟎𝟐 𝑹𝑪 𝟑 ∶ 𝒙 𝟑−𝟏 = 𝒙 𝟐 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟐 → 𝟎𝟎𝟎𝟎 𝟎𝟏𝟎𝟎 → 𝟎𝟒 𝑹𝑪 𝟒 ∶ 𝒙 𝟒−𝟏 = 𝒙 𝟑 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟑 → 𝟎𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 → 𝟎𝟖 𝑹𝑪 𝟓 ∶ 𝒙 𝟓−𝟏 = 𝒙 𝟒 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟒 → 𝟎𝟎𝟎𝟏 𝟎𝟎𝟎𝟎 → 𝟏𝟎 𝑹𝑪 𝟔 ∶ 𝒙 𝟔−𝟏 = 𝒙 𝟓 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟓 → 𝟎𝟎𝟏𝟎 𝟎𝟎𝟎𝟎 → 𝟐𝟎 𝑹𝑪 𝟕 ∶ 𝒙 𝟕−𝟏 = 𝒙 𝟔 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟔 → 𝟎𝟏𝟎𝟎 𝟎𝟎𝟎𝟎 → 𝟒𝟎 𝑹𝑪 𝟖 ∶ 𝒙 𝟖−𝟏 = 𝒙 𝟕 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟕 → 𝟏𝟎𝟎𝟎 𝟎𝟎𝟎𝟎 → 𝟖𝟎 𝑹𝑪 𝟗 ∶ 𝒙 𝟗−𝟏 = 𝒙 𝟖 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟒 +𝒙 𝟑 + 𝒙 + 𝟏 → 𝟎𝟎𝟎𝟏 𝟏𝟎𝟏𝟏 → 𝟏𝑩 𝑹𝑪 𝟏𝟎 ∶ 𝒙 𝟏𝟎−𝟏 = 𝒙 𝟗 𝒎𝒐𝒅 𝒑(𝒙) = 𝒙 𝟓 +𝒙 𝟒 +𝒙 𝟐 +𝒙 → 𝟎𝟎𝟏𝟏 𝟎𝟏𝟏𝟎 → 𝟑𝟔
  • 41. 41 01 02 04 08 10 20 40 80 1b 36 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
  • 42. 42
  • 43. 43