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)

Advanced Encryption Standard (AES)

  • 3.
    3 ‫توجه‬:‫شد‬ ‫خواهید‬ ‫منتقل‬‫مربوطه‬ ‫اسالید‬ ‫به‬ ،‫عنوان‬ ‫روی‬ ‫بر‬ ‫کلیک‬ ‫با‬.
  • 4.
  • 5.
  • 6.
  • 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.
  • 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.
  • 12.
    12 … 01 02 0408 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.
  • 14.
  • 15.
  • 16.
  • 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
  • 18.
  • 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 12 . . . 128 1. Sub byte Add Round key 2. Shift Rows 3. Mix Columns 4.Add Round key
  • 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
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 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 0408 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.