1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
|
{
"metadata": {
"name": "",
"signature": "sha256:0963e656a45b56e87c82b1b894058e0c0c5d5a3acfd1e2f8850678ef319681b0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 13: Security in Wireless Systems"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.1, Page 424"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"#Two prime numbers\n",
"p=5;\n",
"q=7;\n",
"\n",
"#Calculations\n",
"n=p*q;\n",
"z=(p-1)*(q-1);\n",
"e=5\n",
"d=29\n",
"\n",
"#Results\n",
"print 'Public keys is (%d, %d)'%(n,e);\n",
"print 'Private key is (%d, %d)'%(n,d);\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Public keys is (35, 5)\n",
"Private key is (35, 29)\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13.2, Page 425"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"p=23; #prime number that both parties agreed upon\n",
"g=5;# g is primitive mod p\n",
"a=6; #party A choosen number\n",
"b=15; #party B choosen number\n",
"\n",
"#Calculations&Results\n",
"print 'Party A sends to party B as (g**a mod p) = %d'%(g**a%23);\n",
"print 'Party B sends to party A as (g**b mod p) = %d'%(g**b%23);\n",
"print 'Party A computes secret key as ((g**b modp)**a mod p) = %d'%(((g**b%23)**a)%p);\n",
"print 'Party B computes secret key as ((g**a modp)**b mod p) = %d'%(((g**a%23)**b)%p);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Party A sends to party B as (g**a mod p) = 8\n",
"Party B sends to party A as (g**b mod p) = 19\n",
"Party A computes secret key as ((g**b modp)**a mod p) = 2\n",
"Party B computes secret key as ((g**a modp)**b mod p) = 2\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
