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
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
|
srp.Session = function(login, password) {
// Variables session will be used in the SRP protocol
var Nstr = "eeaf0ab9adb38dd69c33f80afa8fc5e86072618775ff3c0b9ea2314c9c256576d674df7496ea81d3383b4813d692c6e0e0d5d8e250b98be48e495c1d6089dad15dc7d7b46154d6b6ce8ef4ad69b15d4982559b297bcf1885c529f566660e57ec68edbc3c05726cc02fd4cbf4976eaa9afd5138fe8376435b9fc61d2fc0eb06e3";
var N = new BigInteger(Nstr, 16);
var g = new BigInteger("2");
var k = new BigInteger("bf66c44a428916cad64aa7c679f3fd897ad4c375e9bbb4cbf2f5de241d618ef0", 16);
var rng = new SecureRandom();
// var a = new BigInteger(32, rng);
var a = new BigInteger("d498c3d024ec17689b5320e33fc349a3f3f91320384155b3043fa410c90eab71", 16);
var A = g.modPow(a, N);
while(A.mod(N) == 0)
{
a = new BigInteger(32, rng);
A = g.modPow(a, N);
}
var Astr = A.toString(16);
var S = null;
var K = null;
var M = null;
var M2 = null;
var authenticated = false;
var I = login;
var pass = password;
// *** Accessor methods ***
// allows setting the random number A for testing
this.calculateAndSetA = function(_a) {
a = new BigInteger(_a, 16);
A = g.modPow(a, N);
Astr = A.toString(16);
return Astr;
};
this.signup = function() {
var salt = this.getSalt();
return {
login: this.getI(),
password_salt: salt,
password_verifier: this.getV(salt).toString(16)
};
};
this.handshake = function() {
return {
login: this.getI(),
A: this.getAstr()
};
};
this.getAstr = function() {
return Astr;
}
// Returns the user's identity
this.getI = function() {
I = I || document.getElementById("srp_username").value;
return I;
};
// Returns the user's identity
this.getPass = function() {
pass = pass || document.getElementById("srp_password").value;
return pass;
};
// some 16 byte random number
this.getSalt = function() {
return new BigInteger(64, rng).toString(16);
}
// Returns the BigInteger, g
this.getg = function() {
return g;
};
// Returns the BigInteger, N
this.getN = function() {
return N;
};
// Calculates the X value and return it as a BigInteger
this.calcX = function(salt) {
var inner = salt + SHA256(this.getI() + ":" + this.getPass())
return new BigInteger(SHA256(hex2a(inner)), 16);
};
this.getV = function(salt)
{
return this.getg().modPow(this.calcX(salt), this.getN());
}
// Calculate S, M, and M2
// This is the client side of the SRP specification
this.calculations = function(salt, ephemeral)
{
//S -> C: s | B
var B = new BigInteger(ephemeral, 16);
var Bstr = ephemeral;
// u = H(A,B)
var u = new BigInteger(SHA256(hex2a(Astr + Bstr)), 16);
// x = H(s, H(I:p))
var x = this.calcX(salt);
//S = (B - kg^x) ^ (a + ux)
var kgx = k.multiply(g.modPow(x, N));
var aux = a.add(u.multiply(x));
S = B.subtract(kgx).modPow(aux, N);
K = SHA256(hex2a(S.toString(16)));
this.calcM(salt, A.toString(16), B.toString(16));
};
// M = H(H(N) xor H(g), H(I), s, A, B, K)
this.calcM = function(salt, Astr, Bstr) {
var hashN = SHA256(hex2a(N.toString(16)))
var hashG = SHA256(hex2a(g.toString(16)))
var hexString = hexXor(hashN, hashG);
hexString += SHA256(I);
hexString += salt;
hexString += Astr;
hexString += Bstr;
hexString += K
M = SHA256(hex2a(hexString));
//M2 = H(A, M, K)
M2 = SHA256(hex2a(Astr + M + K));
};
this.getM = function() {
return M;
}
this.validate = function(serverM2) {
authenticated = (serverM2 && serverM2 == M2)
return authenticated;
}
// If someone wants to use the session key for encrypting traffic, they can
// access the key with this function.
this.key = function()
{
if(K) {
return K;
} else {
this.onError("User has not been authenticated.");
}
};
// Encrypt plaintext using slowAES
this.encrypt = function(plaintext)
{
var key = cryptoHelpers.toNumbers(session.key());
var byteMessage = cryptoHelpers.convertStringToByteArray(plaintext);
var iv = new Array(16);
rng.nextBytes(iv);
var paddedByteMessage = slowAES.getPaddedBlock(byteMessage, 0, byteMessage.length, slowAES.modeOfOperation.CFB);
var ciphertext = slowAES.encrypt(paddedByteMessage, slowAES.modeOfOperation.CFB, key, key.length, iv).cipher;
var retstring = cryptoHelpers.base64.encode(iv.concat(ciphertext));
while(retstring.indexOf("+",0) > -1)
retstring = retstring.replace("+", "_");
return retstring;
};
function hex2a(hex) {
var str = '';
for (var i = 0; i < hex.length; i += 2)
str += String.fromCharCode(parseInt(hex.substr(i, 2), 16));
return str;
}
function hexXor(a, b) {
var str = '';
for (var i = 0; i < a.length; i += 2) {
var xor = parseInt(a.substr(i, 2), 16) ^ parseInt(b.substr(i, 2), 16)
xor = xor.toString(16);
str += (xor.length == 1) ? ("0" + xor) : xor
}
return str;
}
};
|