SAES. Based on the provided information, please apply MixColumn transformation to the following state [A 18 [ 7 7] Bl 0 = = || | || | || || || || || = 0 = 0 8 (84) 8 (85) ||||| | || || || || = = = 0 = = = 8 (8) 8 (87) = g (g+g) = g (g+g+1) g (g+1) g (g+g) 2 3 P00 00 00 00 00 00 00 00 = g+1 = = +8 +g+1 g2+1 == ון III 00 00 00 00 00 00 11 g12 g 1234 13 = = = = = 8 (88) 8 (89) 8 (10) 8 (11) 8 (812) = 8 (813) = g (g+1) = 3 g+g = g (g³+g) 2 = g+g+1 2 = g (g²+g+1) 3 2 g+g+g 2 = g (g+g+g) 3 = 3 = = 2 2 g (g³ + g²+1) (g³ + g²+g+1) = 2 +g+g+1 3+g²+1 = g3+1 a2a3 00 01 10 11 a2a3 00 01 10 11 00 9 4 A B 00 A 5 9 B 01 D 1 8 5 91 1 7 8 F a0a1 10 6 aoa₁ 2 0 3 10 6 0 2 3 11 C E F 7 11 C 4 D E SubNibbles table 436 C 2 G-¹ InvSubNibbles table 0 = (0000) = (0001) = (0010) = (0100) Pgl = (1000) = (0011) = (0110) = (1100) = (1011) = (0101) = (1010) = (0111) 11 = (1110) 12 = (1111) 13 14 34 = (1101) = (1001) 0000 4 +
SAES. Based on the provided information, please apply MixColumn transformation to the following state [A 18 [ 7 7] Bl 0 = = || | || | || || || || || = 0 = 0 8 (84) 8 (85) ||||| | || || || || = = = 0 = = = 8 (8) 8 (87) = g (g+g) = g (g+g+1) g (g+1) g (g+g) 2 3 P00 00 00 00 00 00 00 00 = g+1 = = +8 +g+1 g2+1 == ון III 00 00 00 00 00 00 11 g12 g 1234 13 = = = = = 8 (88) 8 (89) 8 (10) 8 (11) 8 (812) = 8 (813) = g (g+1) = 3 g+g = g (g³+g) 2 = g+g+1 2 = g (g²+g+1) 3 2 g+g+g 2 = g (g+g+g) 3 = 3 = = 2 2 g (g³ + g²+1) (g³ + g²+g+1) = 2 +g+g+1 3+g²+1 = g3+1 a2a3 00 01 10 11 a2a3 00 01 10 11 00 9 4 A B 00 A 5 9 B 01 D 1 8 5 91 1 7 8 F a0a1 10 6 aoa₁ 2 0 3 10 6 0 2 3 11 C E F 7 11 C 4 D E SubNibbles table 436 C 2 G-¹ InvSubNibbles table 0 = (0000) = (0001) = (0010) = (0100) Pgl = (1000) = (0011) = (0110) = (1100) = (1011) = (0101) = (1010) = (0111) 11 = (1110) 12 = (1111) 13 14 34 = (1101) = (1001) 0000 4 +
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
![SAES. Based on the provided information, please apply MixColumn
transformation to the following state
[A
18
[ 7
7]
Bl
0
=
=
|| | || | || || || || ||
= 0
= 0
8 (84)
8 (85)
||||| | || || || ||
=
=
= 0
=
=
= 8 (8)
8 (87)
=
g (g+g)
=
g (g+g+1)
g (g+1)
g (g+g)
2
3
P00 00 00 00 00 00 00 00
= g+1
=
=
+8
+g+1
g2+1
==
ון
III
00 00 00 00 00 00
11
g12
g
1234
13
=
=
=
=
=
8 (88)
8 (89)
8 (10)
8 (11)
8 (812)
= 8 (813)
=
g (g+1)
=
3
g+g
=
g
(g³+g)
2
=
g+g+1
2
=
g
(g²+g+1)
3
2
g+g+g
2
=
g (g+g+g)
3
=
3
=
=
2
2
g (g³ + g²+1)
(g³ + g²+g+1)
=
2
+g+g+1
3+g²+1
=
g3+1
a2a3
00 01 10 11
a2a3
00 01
10
11
00 9 4
A B
00 A 5
9
B
01 D 1
8
5
91 1 7
8 F
a0a1 10 6
aoa₁
2
0
3
10 6
0
2
3
11 C E
F
7
11 C 4
D E
SubNibbles table
436
C
2
G-¹
InvSubNibbles table
0
=
(0000)
=
(0001)
= (0010)
=
(0100)
Pgl
=
(1000)
= (0011)
= (0110)
=
(1100)
=
(1011)
= (0101)
=
(1010)
=
(0111)
11
=
(1110)
12
=
(1111)
13
14
34
=
(1101)
=
(1001)
0000
4
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06c5019f-1718-4736-a99b-c9b592aed06f%2F794b2235-f077-4154-b3de-d1eaa8a2608d%2F6by1xcq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SAES. Based on the provided information, please apply MixColumn
transformation to the following state
[A
18
[ 7
7]
Bl
0
=
=
|| | || | || || || || ||
= 0
= 0
8 (84)
8 (85)
||||| | || || || ||
=
=
= 0
=
=
= 8 (8)
8 (87)
=
g (g+g)
=
g (g+g+1)
g (g+1)
g (g+g)
2
3
P00 00 00 00 00 00 00 00
= g+1
=
=
+8
+g+1
g2+1
==
ון
III
00 00 00 00 00 00
11
g12
g
1234
13
=
=
=
=
=
8 (88)
8 (89)
8 (10)
8 (11)
8 (812)
= 8 (813)
=
g (g+1)
=
3
g+g
=
g
(g³+g)
2
=
g+g+1
2
=
g
(g²+g+1)
3
2
g+g+g
2
=
g (g+g+g)
3
=
3
=
=
2
2
g (g³ + g²+1)
(g³ + g²+g+1)
=
2
+g+g+1
3+g²+1
=
g3+1
a2a3
00 01 10 11
a2a3
00 01
10
11
00 9 4
A B
00 A 5
9
B
01 D 1
8
5
91 1 7
8 F
a0a1 10 6
aoa₁
2
0
3
10 6
0
2
3
11 C E
F
7
11 C 4
D E
SubNibbles table
436
C
2
G-¹
InvSubNibbles table
0
=
(0000)
=
(0001)
= (0010)
=
(0100)
Pgl
=
(1000)
= (0011)
= (0110)
=
(1100)
=
(1011)
= (0101)
=
(1010)
=
(0111)
11
=
(1110)
12
=
(1111)
13
14
34
=
(1101)
=
(1001)
0000
4
+
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