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![Coding: It’s a technique of hiding the content of a text, voice conversation or any
Kind of data pass through any communication system, and coding used
Mainly to secure Information.
ASCII codes represent text in computers, communications equipment, and other
devices that use text. Most modern character-encoding schemes are based on
ASCII.
CHAR DEC HEX CHAR DEC HEX
@ 64 40 ` 96 60
A 65 41 a 97 61
B 66 42 b 98 62
C 67 43 c 99 63
D 68 44 d 100 64
E 69 45 e 101 65
F 70 46 f 102 66
G 71 47 g 103 67
H 72 48 h 104 68
I 73 49 i 105 69
J 74 4A j 106 6A
K 75 4B k 107 6B
L 76 4C l 108 6C
M 77 4D m 109 6D
N 78 4E n 110 6E
O 79 4F o 111 6F
P 80 50 p 112 70
Q 81 51 q 113 71
R 82 52 r 114 72
S 83 53 s 115 73
T 84 54 t 116 74
U 85 55 u 117 75
V 86 56 v 118 76
W 87 57 w 119 77
X 88 58 x 120 78
Y 89 59 y 121 79
Z 90 5A z 122 7A
[ 91 5B { 123 7B
92 5C | 124 7C
] 93 5D } 125 7D
^ 94 5E ~ 126 7E
_ 95 5F 0 48 30](https://image.slidesharecdn.com/mathassignment1-140324072240-phpapp02/75/Message-coding-using-matrices-2-2048.jpg)
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Message coding using matrices
1. The document describes a method for encoding and decoding text using matrices and ASCII codes. 2. It uses a 3x3 matrix as an encoding key to encrypt the word "Mahmoud" by converting it to ASCII values, transposing the matrix, multiplying by the key, and converting the result to binary. 3. To decode, it takes the inverse of the key matrix, multiplies it with the encrypted values, and performs the reverse steps to recover the original word.
Message coding using matrices
- 1. Arab Academy forScience, Technology and Maritime Transport (AASTMT) College of Engineering and Technology Department of Communications and Electronics Advanced Engineering Mathematics Assignment 1 “Coding message using matrices” Name: Mahmoud Sadat Badran Ibrahim ID: 13 220 199
- 2. Coding: It’s atechnique of hiding the content of a text, voice conversation or any Kind of data pass through any communication system, and coding used Mainly to secure Information. ASCII codes represent text in computers, communications equipment, and other devices that use text. Most modern character-encoding schemes are based on ASCII. CHAR DEC HEX CHAR DEC HEX @ 64 40 ` 96 60 A 65 41 a 97 61 B 66 42 b 98 62 C 67 43 c 99 63 D 68 44 d 100 64 E 69 45 e 101 65 F 70 46 f 102 66 G 71 47 g 103 67 H 72 48 h 104 68 I 73 49 i 105 69 J 74 4A j 106 6A K 75 4B k 107 6B L 76 4C l 108 6C M 77 4D m 109 6D N 78 4E n 110 6E O 79 4F o 111 6F P 80 50 p 112 70 Q 81 51 q 113 71 R 82 52 r 114 72 S 83 53 s 115 73 T 84 54 t 116 74 U 85 55 u 117 75 V 86 56 v 118 76 W 87 57 w 119 77 X 88 58 x 120 78 Y 89 59 y 121 79 Z 90 5A z 122 7A [ 91 5B { 123 7B 92 5C | 124 7C ] 93 5D } 125 7D ^ 94 5E ~ 126 7E _ 95 5F 0 48 30
- 3. Note: in decodingthe zeros will be neglected In this example I will use the matrices and ASCII code to Encode and Decode simple text consist of one word. System components: 1-The word “Mahmoud”. 2- Key for coding. 3- Operations of coding The key used for the coding will be a Matrix with size of 3*3 1194 863 512 *Operation of coding: A- Encoding: 1- Insert the word in a matrix. “Mahmoud” du omh aM 0 0 2-Convert characters to its ASCII equivalent from table in previous page. du omh aM 0 0 10011748 111109104 489777 3- Make transposition for the converted matrix. 10011748 111109104 489777 10011148 11710997 4810477 4- Multiply the transpose matrix by the key. 10011148 11710997 4810477 * 1194 863 512 = 22281614829 26441804989 17451133658 5- Now I have encrypted word in form of numbers that has no meaning. I can convert each number in that matrix to its binary equivalent to send it through any digital system.
- 4. B- Decoding: 1- Getthe inverse of the key to use it in the decode process. 1194 863 512 5.475.1 5.015.0 11173 2-Multiply the encrypted matrix by the inverse key matrix. 22281614829 26441804989 17451133658 * 5.475.1 5.015.0 11173 = 10011148 11710997 4810477 3- Make transposition for the result matrix. 10011148 11710997 4810477 10011748 111109104 489777 4- Convert Numbers to its ASCII equivalent Characters. 10011748 111109104 489777 du omh aM 0 0 5-Exectract the Characters from the matrix and neglect the zeros. du omh aM 0 0 “Mahmoud”