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![]() | This is the info page for Flash #160842 |
Introduction |
Classic Cryptography |
Public-key cryptography |
Introduction to Cryptography |
Introduction to Cryptography |
Created by R.sudhir kumar (10e11a1250) |
Introduction |
Introduction |
People have always been fascinated with the idea of hiding information from others. For thousands of years, history has given us numerous examples of people trying to keep information secret from adversaries. Cryptography is the study of the art and science of designing and using methods to conceal messages. These methods range from simple toy examples (e.g. secret decoder rings) to highly theoretical algorithms that rely heavily on mathematics. |
Intro 1 of 7 |
H |
H |
H |
In a basic communication scenario, using cryptography is relatively simple. Imagine two people wanting to communicate secretly. Alice wants to send a message to Bob that nobody else can read. |
Intro 2 of 7 |
Bob |
Alice |
meet me at noon |
Alice must somehow transform her message, called plaintext, so that an adversary can't read it. |
Intro 3 of 7 |
Encrypt |
Alice uses an encryption algorithm to transform her plaintext message into ciphertext. Ciphertext is a "scrambled" form of her original message that hopefully prevents an adversary from eavesdropping. |
meet me at noon |
meet me at noon |
Intro 4 of 7 |
meet me at noon |
key |
In order to encrypt a message, the encryption routine takes as input both the plaintext of the original message, plus a key that tells the algorithm how to "scramble" the plaintext into ciphertext. |
phhw ph dw qrrq |
Intro 5 of 7 |
There is just one problem. The message has been encrypted to prevent adversaries from eavesdropping, but now Bob can't read the message. What we need is a way to retrieve the original plaintext message from the ciphertext. |
phhw ph dw qrrq |
meet me at noon |
Intro 6 of 7 |
Both Alice and Bob use the same algorithm to encrypt and decrypt. They both use a key, that must be kept secret, to transform their communications. If anyone else discovers the key, their communications would be compromised. |
Decrypt |
meet me at noon |
phhw ph dw qrrq |
Introduction |
meet me at noon |
Intro 7 of 7 |
Classic Cryptography |
To illustrate how a basic cryptographic system works, you will be introduced to some simple classic cryptographic algorithms. The first is called a shift cipher, sometimes called a Caesar cipher because it is said that Caesar used this technique to communicate secretly with his generals in the field. |
- Shift Ciphers |
Classic Cryptography |
Classic Cryptography |
Classic 1 of 7 |
Letter + Key |
Shift ciphers are simple. To encrypt a message, each letter is shifted a certain number of characters in the alphabet. The number of characters to shift is based on the value of the key. For example, if the plaintext message is "a" and the key for this message is 3, then the encryption algorithm will generate "a"+3 = "d". |
a |
3 |
d |
a |
3 |
d |
- Shift Ciphers |
Classic Cryptography |
Classic 2 of 7 |
Shift ciphers work with larger messages by performing the encryption function on one letter at a time. Each letter in the ciphertext is the result of the original letter plus the value of the key. |
apple |
3 |
dssoh |
- Shift Ciphers |
Classic Cryptography |
Classic 3 of 7 |
Letter - Key |
How does Bob retrieve the original message from the encrypted message he receives? First, Alice and Bob have to agree ahead of time on the key they will use. For shift ciphers, both the sender and receiver must use the same key. Then, Bob simply takes the text he receives and subtracts the value of the key from each letter. |
dssoh |
3 |
apple |
- Shift Ciphers |
Classic Cryptography |
Classic 4 of 7 |
There are a few issues involved with shift ciphers. First, what happens when plaintext letters appear near the end of the alphabet and "fall off" the end when their value is added to the key? The solution is to "wrap around" to the beginning of the alphabet whenever this occurs. For example, the letter "x" would become a "b" with a key of 4. |
xray |
4 |
bvec |
Classic 5 of 7 |
Another issue with this type of cipher is how do Alice and Bob agree on a key ahead of time? There is an entire set of problems in the field of cryptography devoted to this subject -- how keys are exchanged. For the purposes of this simple cipher, just assume that Alice and Bob have some mechanism in place to agree on a common key. |
Classic 6 of 7 |
Encrypt Button |
Encrypt |
Encrypt |
Encrypt |
Test your understanding of the shift cipher by entering a short plaintext message in the white text box above Alice's name. Enter a key in the key field. To see the encryption take place, click on the encrypt button. Can you determine what the cipher text will be for a given plaintext and key? Try several different messages and keys. |
Classic 7 of 7 |
- Shift Ciphers |
Classic Cryptography |
Public-Key Cryptography |
Public-Key Cryptography |
Public-key cryptography is different in several significant ways from classic encryption schemes: - Instead of a single key, there is a key pair. - One of the keys is kept secret (private key). - The other key is made available to anyone (public key). |
Public-Key Cryptography |
Public-Key Cryptography |
Public 1 of 14 |
KR Bob |
KU Bob |
KR Alice |
KU Alice |
Each user first generates a pair of keys to be used for the encryption and decryption of messages. KU indicates a public key, KR indicates a private key. |
Public 2 of 14 |
All users publish their public keys to a central server so that anyone can access them. This is an essential step because people will need an intended recipient's public key in order to send them an encrypted message. |
Public Server |
Public 3 of 14 |
Suppose Alice wants to send an encrypted message to Bob. To do so, she obtains his public key, which is available to anyone, and uses that key to encrypt her message. |
Public 4 of 14 |
Hi, Bob! |
#dG;9)m |
When Bob receives a message, he decrypts it with his private key. No one else can decrypt the message except Bob because only he knows the private key! |
Public 5 of 14 |
Hi, Bob! |
Public Server |
Public-Key Cryptography |
Public 6 of 14 |
RSA is one of the most popular public-key algorithms. Named after the three researchers (Rivest, Shamir, and Adleman) who published the algorithm in the late 1970's, it has become widely used in many modern cryptographic systems. The fundamental security of the algorithm is based on the difficulty of factoring very large numbers into their prime factors. |
Public-Key Cryptography |
Public 7 of 14 |
The first step of the RSA algorithm is to create the public and private keys for a user: Step 1: Generate 2 very large (random) primes, p and q The numbers need to be very large to make factoring difficult, and they need to be random so an adversary can't guess what they might be. Step 2: Calculate n = p * q This is simply the product of the two numbers. |
Public-Key Cryptography |
Public 8 of 14 |
Step 1: Generate 2 very large (random) primes, p and q Step 2: Calculate n = p * q Step 3: Calculate phi(n) = (p-1)(q-1) This value is needed for the next two steps. Step 4: Select integer e, such that gcd(phi(n), e)=1 That is, we need to find a value for e that is relatively prime to phi(n). There are algorithms that can do this very quickly. |
Public-Key Cryptography |
Public 9 of 14 |
Step 1: Generate 2 very large (random) primes, p and q Step 2: Calculate n = p * q Step 3: Calculate phi(n) = (p-1)(q-1) Step 4: Select integer e, such that gcd(phi(n), e)=1 Step 5: Calculate d, where d*e=1 mod phi(n) We need a value of d, such that when it is multiplied by e from the previous step, the product is equal to 1 when we take the remainder when divided by phi(n). |
Public-Key Cryptography |
Public 10 of 14 |
Step 1: Generate 2 very large (random) primes, p and q Step 2: Calculate n = p * q Step 3: Calculate phi(n) = (p-1)(q-1) Step 4: Select integer e, such that gcd(phi(n), e)=1 Step 5: Calculate d, where d*e=1 mod phi(n) The public key, KU, is {e, n}. Make these values available to everyone. The private key, KR, is {d, n}. Keep d secret! |
Public-Key Cryptography |
Public 11 of 14 |
Although real RSA implementations use very large numbers, for the purposes of this tutorial, we will us relatively small numbers so that the calculations are easier. Enter p and q such that they are prime and less than 100. |
p= |
q= |
Calculate n |
n= |
phi(n)= |
n=p*q |
(p-1) *(q-1) |
e= |
Verify e |
Now find e such that the gcd(phi(n), e) = 1. |
gcd(phi(n), e) = |
n=p*q |
(p-1) *(q-1) |
Calculate d (using Euclid's algorithm), where d·e=1 mod phi(n) |
d= |
Public-Key Cryptography |
Public 12 of 14 |
Decrypt Button |
Decrypt |
Decrypt |
Decrypt |
M= |
M= |
To encrypt plaintext M, do the following (M must be less than n) : Ciphertext: C=M e mod n To decrypt ciphertext C at the receiving end: Plaintext: M=C d mod n Try some values for M above and press the encrypt and decrypt buttons to see the encryption values for the keys generated on the previous page. |
C= |
Public-Key Cryptography |
Public 13 of 14 |
To summarize RSA: Step 1: Generate 2 very large (random) primes, p and q Step 2: Calculate n = p * q Step 3: Calculate phi(n) = (p-1)(q-1) Step 4: Select integer e, such that gcd(phi(n), e)=1 Step 5: Calculate d, where d*e=1 mod phi(n) Step 6: The public key, KU, is {e, n}. Step 7: The private key, KR, is {d, n}. Keep d secret! Ciphertext: C=M e mod n Plaintext: M=C d mod n |
Public-Key Cryptography |
Public 14 of 14 |
Additional References: Applied Cryptography, 2nd Ed., Bruce Schneier, John Wiley, 1996. Cryptography: Theory and Practice, 2nd Ed., Douglas Stinson, Chapman & Hall, 2002. Introduction to Cryptography with Coding Theory, Wade Trappe and Lawrence Washington, Prentice Hall, 2002 Handbook of Applied Cryptography, Menezes, van Oorschot, and Vanstone, CRC Press, 1997. Cryptography and Network Security, William Stallings, Prentice Hall, 2003. |
Public-Key Cryptography |
ActionScript [AS1/AS2]
Frame 30stop();Frame 60stop();Frame 75stop();Frame 125stop();Frame 175stop();Frame 195stop();Frame 215stop();Frame 245stop();Frame 294stop();Frame 315stop();Frame 335stop();Frame 355stop();Frame 375stop();Frame 395stop();Frame 396stop();Frame 401change = "";Frame 406c1 = text.charAt(x);Frame 425c1 = ""; z = keyval.charCodeAt(0) - 48; if (text.charCodeAt(x) != 32) { tempchar = text.charCodeAt(x) + z; if (122 < tempchar) { tempchar = tempchar - 26; } c3 = chr(tempchar); } else { c3 = " "; }Frame 435temp = ""; if (text.charCodeAt(x) != 32) { val = c3; temp = temp + val; } else { temp = temp + " "; } c3 = ""; change = change + temp; x++; if (x >= text.length) { gotoAndPlay (396); } else { gotoAndPlay (406); }Frame 445stop();Frame 504stop();Frame 525stop();Frame 545stop();Frame 565stop();Frame 605stop();Frame 624stop();Frame 645stop();Frame 665stop();Frame 685stop();Frame 705stop();Frame 724stop();Frame 745stop();Frame 765pub = ((("{" + e) + ",") + n) + "}"; priv = ((("{" + dd) + ",") + n) + "}"; cipher = ""; decipher = ""; M = ""; stop();Frame 785pub = ((("{" + e) + ",") + n) + "}"; priv = ((("{" + dd) + ",") + n) + "}"; cipher = ""; decipher = ""; M = ""; stop();Frame 805stop();Symbol 16 Buttonon (release) { gotoAndPlay (31); }Symbol 17 Buttonon (release) { gotoAndPlay (246); }Symbol 18 Buttonon (release) { gotoAndPlay (456); }Symbol 29 Buttonon (release) { gotoAndPlay (62); }Symbol 34 Buttonon (release) { gotoAndPlay (1); }Symbol 37 Buttonon (release) { gotoAndPlay (77); }Symbol 41 Buttonon (release) { gotoAndPlay (31); }Symbol 47 Buttonon (release) { gotoAndPlay (127); }Symbol 48 Buttonon (release) { gotoAndPlay (62); }Symbol 52 Buttonon (release) { gotoAndPlay (177); }Symbol 53 Buttonon (release) { gotoAndPlay (77); }Symbol 62 Buttonon (release) { gotoAndPlay (197); }Symbol 63 Buttonon (release) { gotoAndPlay (127); }Symbol 67 Buttonon (release) { gotoAndPlay (217); }Symbol 68 Buttonon (release) { gotoAndPlay (177); }Symbol 73 Buttonon (release) { gotoAndPlay (197); }Symbol 79 Buttonon (release) { gotoAndPlay (246); 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}Symbol 179 Buttonon (release) { gotoAndPlay (566); }Symbol 180 Buttonon (release) { gotoAndPlay (526); }Symbol 185 Buttonon (release) { gotoAndPlay (606); }Symbol 186 Buttonon (release) { gotoAndPlay (546); }Symbol 191 Buttonon (release) { gotoAndPlay (625); }Symbol 192 Buttonon (release) { gotoAndPlay (586); }Symbol 196 Buttonon (release) { gotoAndPlay (646); }Symbol 197 Buttonon (release) { gotoAndPlay (606); }Symbol 201 Buttonon (release) { gotoAndPlay (666); }Symbol 202 Buttonon (release) { gotoAndPlay (625); }Symbol 206 Buttonon (release) { gotoAndPlay (686); }Symbol 207 Buttonon (release) { gotoAndPlay (646); }Symbol 211 Buttonon (release) { gotoAndPlay (706); }Symbol 212 Buttonon (release) { gotoAndPlay (666); }Symbol 216 Buttonon (release) { gotoAndPlay (725); }Symbol 217 Buttonon (release) { gotoAndPlay (686); }Symbol 229 Buttonon (release) { n = p * q; phi = (p - 1) * (q - 1); }Symbol 239 Buttonon (release) { a = e; b = phi; if (b == 0) { d = a; x = 1; y = 0; } else { x2 = 1; x1 = 0; y2 = 0; y1 = 1; while (0 < b) { qx = Math.floor(a / b); r = a - (qx * b); x = x2 - (qx * x1); y = y2 - (qx * y1); a = b; b = r; x2 = x1; x1 = x; y2 = y1; y1 = y; } d = a; x = x2; y = y2; } gcd = d; }Symbol 245 Buttonon (release) { p_prime = true; q_prime = true; i = 2; while (i < p) { if ((p % i) == 0) { p_prime = false; } i++; } i = 2; while (i < q) { if ((q % i) == 0) { q_prime = false; } i++; } if ((p_prime == true) && (q_prime == true)) { n = p * q; phi = (p - 1) * (q - 1); } else if (p_prime == false) { n = "check p"; phi = " "; } else { n = "check q"; phi = " "; } }Symbol 251 Buttonon (release) { a = e; b = phi; if (b == 0) { d = a; x = 1; y = 0; } else { x2 = 1; x1 = 0; y2 = 0; y1 = 1; while (0 < b) { qx = Math.floor(a / b); r = a - (qx * b); x = x2 - (qx * x1); y = y2 - (qx * y1); a = b; b = r; x2 = x1; x1 = x; y2 = y1; y1 = y; } d = a; x = x2; y = y2; } gcd = d; if (gcd == 1) { while (x < 0) { x = x + phi; } dd = x; _parent.forward_button._visible = false; } else { dd = "error"; } }Symbol 257 Buttonon (release) { a = e; b = phi; if (b == 0) { d = a; x = 1; y = 0; } else { x2 = 1; x1 = 0; y2 = 0; y1 = 1; while (0 < b) { qx = Math.floor(a / b); r = a - (qx * b); x = x2 - (qx * x1); y = y2 - (qx * y1); a = b; b = r; x2 = x1; x1 = x; y2 = y1; y1 = y; } d = a; x = x2; y = y2; } gcd = d; if (gcd == 1) { while (x < 0) { x = x + phi; } dd = x; gotoAndPlay (746); } else { dd = "error"; } }Symbol 258 Buttonon (release) { gotoAndPlay (706); }Symbol 266 Buttonon (release) { if ((M >= 0) && (M < n)) { cr = M; i = 2; while (e >= i) { cr = (cr * M) % n; i++; } cipher = cr; } else { cipher = "Bad M!"; cr = -1; } }Symbol 267 Buttonon (release) { if ((cr >= 0) && (cr < n)) { dcr = cr; i = 2; while (dd >= i) { dcr = (dcr * cr) % n; i++; } decipher = dcr; } else { decipher = ""; } }Symbol 278 Buttonon (release) { gotoAndPlay (766); }Symbol 279 Buttonon (release) { gotoAndPlay (725); }Symbol 283 Buttonon (release) { gotoAndPlay (786); }Symbol 284 Buttonon (release) { gotoAndPlay (746); }Symbol 288 Buttonon (release) { gotoAndPlay (1); }Symbol 289 Buttonon (release) { gotoAndPlay (766); }
Library Items
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Symbol 123 EditableText | Uses:20 | Used by:Timeline | |
Symbol 124 EditableText | Uses:20 | Used by:Timeline | |
Symbol 125 EditableText | Uses:20 | Used by:Timeline | |
Symbol 126 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 127 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 128 EditableText | Uses:20 | Used by:Timeline | |
Symbol 129 EditableText | Uses:20 | Used by:Timeline | |
Symbol 130 Graphic | Used by:131 | ||
Symbol 131 MovieClip | Uses:130 | Used by:Timeline | |
Symbol 132 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 133 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 134 EditableText | Uses:20 | Used by:Timeline | |
Symbol 135 EditableText | Uses:20 | Used by:Timeline | |
Symbol 136 EditableText | Uses:20 | Used by:Timeline | |
Symbol 137 EditableText | Uses:10 | Used by:141 260 266 | |
Symbol 138 EditableText | Uses:10 | Used by:141 260 266 | |
Symbol 139 EditableText | Uses:10 | Used by:141 260 266 | |
Symbol 140 EditableText | Uses:10 | Used by:141 260 266 | |
Symbol 141 Button | Uses:42 137 138 139 140 | Used by:Timeline | |
Symbol 142 EditableText | Uses:10 | Used by:Timeline | |
Symbol 143 Font | Used by:144 199 204 209 214 219 221 223 225 230 232 234 235 237 238 240 241 248 249 253 254 269 272 273 274 281 286 | ||
Symbol 144 Text | Uses:20 143 10 | Used by:Timeline | |
Symbol 145 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 146 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 147 EditableText | Uses:20 | Used by:Timeline | |
Symbol 148 EditableText | Uses:20 | Used by:Timeline | |
Symbol 149 EditableText | Uses:20 | Used by:Timeline | |
Symbol 150 EditableText | Uses:20 | Used by:Timeline | |
Symbol 151 EditableText | Uses:20 | Used by:Timeline | |
Symbol 152 EditableText | Uses:20 | Used by:Timeline | |
Symbol 153 EditableText | Uses:20 | Used by:Timeline | |
Symbol 154 EditableText | Uses:20 | Used by:Timeline | |
Symbol 155 EditableText | Uses:10 | Used by:Timeline | |
Symbol 156 EditableText | Uses:10 | Used by:Timeline | |
Symbol 157 EditableText | Uses:10 | Used by:Timeline | |
Symbol 158 EditableText | Uses:10 | Used by:Timeline | |
Symbol 159 Text | Uses:20 25 | Used by:Timeline | |
Symbol 160 EditableText | Uses:10 | Used by:Timeline | |
Symbol 161 EditableText | Uses:10 | Used by:Timeline | |
Symbol 162 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 163 EditableText | Uses:20 | Used by:Timeline | |
Symbol 164 Text | Uses:20 | Used by:Timeline | |
Symbol 165 Text | Uses:20 | Used by:Timeline | |
Symbol 166 Text | Uses:20 | Used by:Timeline | |
Symbol 167 Text | Uses:20 | Used by:Timeline | |
Symbol 168 Text | Uses:20 25 | Used by:Timeline | |
Symbol 169 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 170 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 171 EditableText | Uses:20 | Used by:Timeline | |
Symbol 172 EditableText | Uses:20 | Used by:Timeline | |
Symbol 173 EditableText | Uses:20 | Used by:Timeline | |
Symbol 174 Graphic | Used by:Timeline | ||
Symbol 175 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 176 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 177 EditableText | Uses:20 | Used by:Timeline | |
Symbol 178 EditableText | Uses:20 | Used by:Timeline | |
Symbol 179 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 180 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 181 EditableText | Uses:20 | Used by:Timeline | |
Symbol 182 EditableText | Uses:10 | Used by:Timeline | |
Symbol 183 EditableText | Uses:10 | Used by:Timeline | |
Symbol 184 EditableText | Uses:20 | Used by:Timeline | |
Symbol 185 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 186 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 187 EditableText | Uses:20 | Used by:Timeline | |
Symbol 188 EditableText | Uses:10 | Used by:Timeline | |
Symbol 189 EditableText | Uses:20 | Used by:Timeline | |
Symbol 190 EditableText | Uses:10 | Used by:Timeline | |
Symbol 191 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 192 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 193 EditableText | Uses:20 | Used by:Timeline | |
Symbol 194 EditableText | Uses:20 | Used by:Timeline | |
Symbol 195 EditableText | Uses:10 | Used by:Timeline | |
Symbol 196 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 197 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 198 EditableText | Uses:20 | Used by:Timeline | |
Symbol 199 Text | Uses:20 143 | Used by:Timeline | |
Symbol 200 EditableText | Uses:10 | Used by:Timeline | |
Symbol 201 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 202 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 203 EditableText | Uses:20 | Used by:Timeline | |
Symbol 204 Text | Uses:20 143 25 | Used by:Timeline | |
Symbol 205 EditableText | Uses:10 | Used by:Timeline | |
Symbol 206 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 207 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 208 EditableText | Uses:20 | Used by:Timeline | |
Symbol 209 Text | Uses:20 143 | Used by:Timeline | |
Symbol 210 EditableText | Uses:10 | Used by:Timeline | |
Symbol 211 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 212 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 213 EditableText | Uses:20 | Used by:Timeline | |
Symbol 214 Text | Uses:20 143 | Used by:Timeline | |
Symbol 215 EditableText | Uses:10 | Used by:Timeline | |
Symbol 216 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 217 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 218 EditableText | Uses:20 | Used by:Timeline | |
Symbol 219 Text | Uses:20 143 | Used by:Timeline | |
Symbol 220 EditableText | Uses:20 | Used by:Timeline | |
Symbol 221 Text | Uses:143 20 | Used by:Timeline | |
Symbol 222 EditableText | Uses:20 | Used by:Timeline | |
Symbol 223 Text | Uses:143 20 | Used by:Timeline | |
Symbol 224 Graphic | Used by:229 239 245 251 | ||
Symbol 225 Text | Uses:20 143 | Used by:229 245 | |
Symbol 226 Graphic | Used by:229 239 245 251 | ||
Symbol 227 Graphic | Used by:229 239 245 251 | ||
Symbol 228 Graphic | Used by:229 239 245 251 | ||
Symbol 229 Button | Uses:224 225 226 227 228 | Used by:Timeline | |
Symbol 230 Text | Uses:143 20 | Used by:Timeline | |
Symbol 231 EditableText | Uses:20 | Used by:Timeline | |
Symbol 232 Text | Uses:20 143 | Used by:Timeline | |
Symbol 233 EditableText | Uses:20 | Used by:Timeline | |
Symbol 234 EditableText | Uses:143 | Used by:Timeline | |
Symbol 235 EditableText | Uses:143 | Used by:Timeline | |
Symbol 236 EditableText | Uses:20 | Used by:Timeline | |
Symbol 237 Text | Uses:143 20 | Used by:Timeline | |
Symbol 238 Text | Uses:20 143 | Used by:239 251 | |
Symbol 239 Button | Uses:224 238 226 227 228 | Used by:Timeline | |
Symbol 240 Text | Uses:20 143 | Used by:Timeline | |
Symbol 241 Text | Uses:20 143 | Used by:Timeline | |
Symbol 242 EditableText | Uses:20 | Used by:Timeline | |
Symbol 243 EditableText | Uses:20 | Used by:Timeline | |
Symbol 244 EditableText | Uses:20 | Used by:Timeline | |
Symbol 245 Button | Uses:224 225 226 227 228 | Used by:Timeline | |
Symbol 246 EditableText | Uses:20 | Used by:Timeline | |
Symbol 247 EditableText | Uses:20 | Used by:Timeline | |
Symbol 248 EditableText | Uses:143 | Used by:Timeline | |
Symbol 249 EditableText | Uses:143 | Used by:Timeline | |
Symbol 250 EditableText | Uses:20 | Used by:Timeline | |
Symbol 251 Button | Uses:224 238 226 227 228 | Used by:Timeline | |
Symbol 252 EditableText | Uses:20 | Used by:Timeline | |
Symbol 253 Text | Uses:20 143 | Used by:Timeline | |
Symbol 254 Text | Uses:143 20 | Used by:Timeline | |
Symbol 255 EditableText | Uses:20 | Used by:Timeline | |
Symbol 256 EditableText | Uses:10 | Used by:Timeline | |
Symbol 257 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 258 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 259 EditableText | Uses:20 | Used by:Timeline | |
Symbol 260 Button | Uses:42 137 138 139 140 | Used by:Timeline | |
Symbol 261 EditableText | Uses:10 | Used by:265 267 | |
Symbol 262 EditableText | Uses:10 | Used by:265 267 | |
Symbol 263 EditableText | Uses:10 | Used by:265 267 | |
Symbol 264 EditableText | Uses:10 | Used by:265 267 | |
Symbol 265 Button | Uses:42 261 262 263 264 | Used by:Timeline | |
Symbol 266 Button | Uses:42 137 138 139 140 | Used by:Timeline | |
Symbol 267 Button | Uses:42 261 262 263 264 | Used by:Timeline | |
Symbol 268 EditableText | Uses:20 | Used by:Timeline | |
Symbol 269 Text | Uses:143 20 | Used by:Timeline | |
Symbol 270 EditableText | Uses:20 | Used by:Timeline | |
Symbol 271 EditableText | Uses:20 | Used by:Timeline | |
Symbol 272 Text | Uses:143 20 | Used by:Timeline | |
Symbol 273 Text | Uses:20 143 10 25 | Used by:Timeline | |
Symbol 274 Text | Uses:143 20 | Used by:Timeline | |
Symbol 275 EditableText | Uses:10 | Used by:Timeline | |
Symbol 276 EditableText | Uses:10 | Used by:Timeline | |
Symbol 277 EditableText | Uses:10 | Used by:Timeline | |
Symbol 278 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 279 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 280 EditableText | Uses:20 | Used by:Timeline | |
Symbol 281 Text | Uses:20 143 10 25 | Used by:Timeline | |
Symbol 282 EditableText | Uses:10 | Used by:Timeline | |
Symbol 283 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 284 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline | |
Symbol 285 EditableText | Uses:20 | Used by:Timeline | |
Symbol 286 Text | Uses:20 143 | Used by:Timeline | |
Symbol 287 EditableText | Uses:10 | Used by:Timeline | |
Symbol 288 Button | Uses:1 28 3 4 5 6 | Used by:Timeline | |
Symbol 289 Button | Uses:1 28 3 38 39 6 40 | Used by:Timeline |
Labels
"intro - 1" | Frame 31 |
"intro - 2" | Frame 62 |
"intro - 3" | Frame 77 |
"intro - 4" | Frame 127 |
"intro - 5" | Frame 177 |
"intro - 6" | Frame 197 |
"intro - 7" | Frame 217 |
"cc - 1" | Frame 246 |
"cc - 2" | Frame 278 |
"cc - 3" | Frame 295 |
"cc - 4" | Frame 316 |
"cc - 5" | Frame 336 |
"cc - 6" | Frame 356 |
"cc - 7" | Frame 376 |
"cc - 8" | Frame 396 |
"cc - 9" | Frame 401 |
"cc - 10" | Frame 406 |
"cc - 11" | Frame 415 |
"cc - 12" | Frame 425 |
"cc - 13" | Frame 435 |
"cc -14" | Frame 446 |
"pc - 1" | Frame 456 |
"pc - 2" | Frame 488 |
"pc - 3" | Frame 505 |
"pc - 4" | Frame 526 |
"pc - 5" | Frame 546 |
"pc - 6" | Frame 566 |
"pc - 7" | Frame 586 |
"pc - 8" | Frame 606 |
"pc - 9" | Frame 625 |
"pc - 10" | Frame 646 |
"pc - 11" | Frame 666 |
"pc - 12" | Frame 686 |
"pc - 13" | Frame 706 |
"pc - 14" | Frame 725 |
"pc -15" | Frame 746 |
"pc - 16" | Frame 766 |
"pc - 17" | Frame 786 |
Dynamic Text Variables
change | Symbol 135 EditableText | "" |
text | Symbol 136 EditableText | "" |
keyval | Symbol 142 EditableText | "" |
c1 | Symbol 148 EditableText | "" |
c1 | Symbol 149 EditableText | "" |
c3 | Symbol 150 EditableText | "" |
c1 | Symbol 151 EditableText | "" |
c3 | Symbol 152 EditableText | "" |
c1 | Symbol 153 EditableText | "" |
text | Symbol 154 EditableText | "" |
p | Symbol 220 EditableText | "" |
q | Symbol 222 EditableText | "" |
n | Symbol 231 EditableText | "" |
phi | Symbol 233 EditableText | "" |
e | Symbol 236 EditableText | "" |
gcd | Symbol 242 EditableText | "" |
p | Symbol 243 EditableText | "" |
q | Symbol 244 EditableText | "" |
n | Symbol 246 EditableText | "" |
phi | Symbol 247 EditableText | "" |
e | Symbol 250 EditableText | "" |
gcd | Symbol 252 EditableText | "" |
dd | Symbol 255 EditableText | "" |
M | Symbol 268 EditableText | "" |
cipher | Symbol 270 EditableText | "" |
decipher | Symbol 271 EditableText | "" |
pub | Symbol 275 EditableText | "" |
priv | Symbol 276 EditableText | "" |
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