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CRYPTOGRAPHY - 101

      VISHAL PUNJABI
    vp0502@gmail.com
OVERVIEW
• Terminologies
• Symmetric key algorithms
      -Vernam cipher
      -A5/1
      -DES
      -AES
• Asymmetric key algorithms
      -RSA
      -Deffie Hellman
• Some cryptographic hashes
• Tools for cryptanalysis
TERMINOLOGY
• Cryptology-Art and science of making
  “secret codes”.
• Cryptography- The practice and study
  of hiding information.
• Cryptanalysis-Art of finding some
  weakness and insecurity in a
  cryptographic scheme.
CRYPTOGRAPHIC TERMINOLOGY

• Plain text-The format of the data before being
  encrypted.
• Cipher Text-The “scrambled” format of data after
  being encrypted.
• Key-A secret value used during the encryption
  and decryption process
• Encryption-Method of transforming plain text into
  an unreadable format
• Decryption-Method of obtaining the encrypted
  message back to its original form.
ENCRYPTION AND DECRYPTION
TYPES OF ALGORITHMS
           Cryptographic algorithms




Symmetric key                 Asymmetric key
(Shared secret key)           (Public key)
SYMMETRIC KEY ENCRYPTION
TYPES OF SYMMETRIC CIPHERS
• Stream ciphers
  – Encrypts one bit/character at a time
• Block ciphers
  – Break plaintext message in equal-size
    blocks
  – Encrypts each block as a unit
SUBSTITUTION CIPHER
•  Substituting by a character “key” places ahead of the current
   character
a)Monoalphabetic cipher (Stream cipher)
•  Eg. PlainText : THIS IS AN EASY TASK
• Key : 3
• Encryption : WKLV LV DQ HDVB WDVN


b) Polyalphabetic cipher (Block cipher)
•   Eg : THIS IS AN EASY TASK.
•   Make group of 3 characters and a set of keys used could be 135.
                   THI SIS ANE…
                   Encryption : UKN TLX…
TRANSPOSITION CIPHER
•   Transposition ciphers use the letters of the plaintext
    message, but they permute the order of the letters.

Encrypt :  hello my dear friend
Key: 2143
1. Remove spaces
2. Divide the text into blocks of 4 characters.
3. Add bogus character(s) at the end(if reqiured).

                              hello myde arfr iend
Ciphertext:                   ehol ymed rarf eidn
After decryption :            hello myde arfr iend
VERNAM CIPHER
•   Each character from the plaintext is encrypted by a modular addition
    which a number from the secret random key pad which is of the
    same length as the plain text.

Step 1: Convert the letters to their numeric equivalents
          V E R N A M C I P H E R
          21 4 17 13 0 12 2 8 15 7 4 17

Assume the random 2 digit no. series (key)
         76 48 16 82 44 03 58 11 60 05 10 88
Step 2: Add the numeric equivalent and the corresponding
   random no.
         Random no + numeric equivalent =sum

Sum 97 52 33 95 44 15 60 19 75 12 14 105
VERNAM CIPHER
Step 3 : Perform sum mod 26
                  19 0 7 17 18 15 8 19 23 12 14 1
Ciphertext ----
                  t a h r s p i t x m o b

Decryption
Step 1
 a =     (numeric equivalent of ciphertext - key)
Step 2
a mod 26
(if a negative then keep adding 26 till you get a positive no.)
Step 3
Convert numeric equivalent back to alphabet
A5/1 STREAM CIPHER
• GSM uses A5/1 as a cryptographic
  algorithm.
• Phone communication in GSM is done
  as a sequence of 228 bit frames.
• A5/1 creates a bit stream of 228 bits in
  a 228 bit buffer which is EX-Ored with
  228 bits of plain text to generate the
  ciphertext.
A5/1 STREAM CIPHER
A5/1 STREAM CIPHER
• It was initially kept secret, but became
  public knowledge through leaks
  and reverse engineering.

• COPACOBANA was the first
  commercially available solution to
  break the cipher.
RC4 STREAM CIPHER
• Most widely used stream cipher used in
  popular protocols such as Secure
  Sockets Layer (SSL) (to protect Internet
  traffic) and WEP (to secure wireless
  networks).
• Designed by Ron Rivest in 1984.
• Hence the name RC4( Rivest cipher 4).
• Fluhrer, Mantin and Shamir attack AND
  Klein's Attack are a few attempts.
RC4 STREAM CIPHER
• Consists of 2 parts: Key Scheduling
  Algorithm (KSA) & Pseudo-Random
  Generation Algorithm
• 8 bits of the plain text is Exored with a
  byte of the key to produce a byte of
  ciphertext.
• Key stream is a a sequence of bytes(
  can contain 1-256 bytes).
DATA ENCRYPTION
       STANDARD (DES)
• Modern symmetric key block cipher.
• Developed by IBM and then published
  by National Institute of standards and
  technology(NIST).
• Vulnerable only because of its small
  key length.
• Often used in VPN servers.
DES ALGORITHM
• DES is a Feistel cipher
   –   64 bit block length
   –   56 bit key length
   –   16 rounds
   –   48 bits of key used each
       round (subkey)
• Each round is simple
  (for a block cipher)
• Security depends
  primarily on “S-boxes”
   – Each S-boxes maps 6 bits
     to 4 bits
L     R                        key

           32             28               28

     expand           shift                shift         One
           48                  28     28
                                                        Round
32              Ki

                48
                                                          of
           48                  compress

     S-boxes
                     28                            28    DES
           32

      P box
32
           32

           32
                                key
 L     R
DES ATTACKS
• Brute force attack
• Differential cryptanalysis
• Linear cryptanalysis
• Improved Davies' attack
• distributed.net and the Electronic Frontier
  Foundation collaborated to publicly
  break a DES key in 22 hours and 15
  minutes
• Now replaced by AES
ADVANCED ENCRYPTION STANDARD
           (AES)
•   Replacement for DES
•   AES competition (late 90’s)
     – NSA openly involved
     – Transparent process
     – Many strong algorithms proposed
     – Rijndael Algorithm ultimately selected
•   Iterated block cipher (like DES)
•   Not a Feistel cipher (unlike DES)
•   3 versions are :   AES - 128
                        AES - 192
                       AES – 256
•   Used in Open SSL and WPA2
AES OVERVIEW
•   Block size: 128, 192 or 256 bits
•   Key length: 128, 192 or 256
    bits (independent of block
    size)
•   10 to 14 rounds (depends on
    key length)
•   Each round uses 4 functions
    (in 3 “layers”)
      – ByteSub (nonlinear layer)
      – ShiftRow (linear mixing
         layer)
      – MixColumn (nonlinear
         layer)
      – AddRoundKey (key
         addition layer)
ATTACKS
•   Side-channel attack
•   Brute force attack
•   XSL attack
•   Related-key attack
•    Known-key distinguishing attack
ASYMMETRIC KEY ENCRYPTION
RSA
• The most common public-key algorithm is the RSA
  cryptosystem, named for its inventors (Rivest, Shamir, and
  Adleman).
• Applications
1. To protect web traffic, in the SSL protocol (Security
   Socket Layer),
2. To guarantee email privacy and authenticity in PGP
   (Pretty Good Privacy)
3. To guarantee remote connection in SSH (Secure Shell)
4. Furthermore it plays an important role in the modern
   payment systems through SET protocol (Secure
   Electronic Transaction).
ALGORITHM
•   Let p and q be two large prime numbers
•   Let N = pq be the modulus
•   Find ф(n)=(p-1).(q-1)
•   Choose e such that it is relatively prime to ф(n).
•   Choose d such that :      e x d mod ф(n)=1
•   Public key is (N,e)
•   Private key is d
• To encrypt message M compute
    – C = Me mod N
• To decrypt C compute
    – M = Cd mod N
RSA ATTACKS
• Factoring the Public Key
  To make RSA secure recommended
  size of p and q is 512 bits(154 decimal
  digits).
  This makes n 1024 bits.
• Guessing d
• Cycle Attack
• Common Modulus
Diffie Hellman
• Invented by Williamson (GCHQ)
  and, independently, by D and H (Stanford)
• A “key exchange” algorithm
  – Used to establish a shared symmetric key
 - Not for encrypting or signing but for
 exchanging keys.
1. P is very large prime no and g is its primitive root.
2. Alice chooses a large random no. x such that 0<= x <= p-1 and calculates
   R1= gx mod p.
3. Bob chooses another large random no. y such that 0<= y <= p-1 and
   calculates R2=gy mod p.
4. Alice sends R1 to Bob. Alice does not send x; she only sends R1.
5. Bob sends R2 to Alice. Bob does not send y; he only sends R2.
6. Alice calculates K= (R2)x mod p.
7. Bob calculates K= (R1)y mod p.
ATTACKS
1. Discrete logarithm attack
   Intruder can intercept R1 and R2. If
   he can find x from R1=gx mod p and
   y from R2=gy mod p then he can
   calculate k=gxy mod p
2. Man in the middle attack.
SOME CRYPTOGRAPHIC HASHES
a) MD5(Message Digest 5)
• Developed by Ron Rivest of MIT.
• Was the mostly used secure hash algorithm till
  it was cracked.
• Takes an input msg of arbitrary length and
  produces as output a 128-bit message digest.
• The input is processed in 512-bit block.
• Attacks possible on MD5 are Bruteforce and
  Fast collision attacks.
SOME CRYPTOGRAPHIC HASHES
b) SHA-1(Secure hash algorithm)
• Developed by NIST(National Institute of
  standards and technology).
SHA-1 Logic :
• The algorithm takes as input a message with a
  maximum length of less than 264 bits and
  produces a 160-bit message digest.
• The input is processed in 512-bit blocks.
TOOLS FOR CRYPTANALYSTS
• Ganzúa-A cryptanalysis tool for
  classical ciphers
• EverCrack - Open Source
  Cryptanalysis Engine
• Lepton's Crack
• Online crackers
SOME RESOURCES
• CRYPTOGRAPHY CLASS BY STANFORD
      http://www.crypto-class.org/

• Awesome videos
       http://www.intypedia.com/

• CRYPTOGRAPHY AND NETWORK SECURITY
        -BEHEROUZ A FOROUZAN
THANK YOU
    

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Cryptography-101

  • 1. CRYPTOGRAPHY - 101 VISHAL PUNJABI vp0502@gmail.com
  • 2. OVERVIEW • Terminologies • Symmetric key algorithms -Vernam cipher -A5/1 -DES -AES • Asymmetric key algorithms -RSA -Deffie Hellman • Some cryptographic hashes • Tools for cryptanalysis
  • 3. TERMINOLOGY • Cryptology-Art and science of making “secret codes”. • Cryptography- The practice and study of hiding information. • Cryptanalysis-Art of finding some weakness and insecurity in a cryptographic scheme.
  • 4. CRYPTOGRAPHIC TERMINOLOGY • Plain text-The format of the data before being encrypted. • Cipher Text-The “scrambled” format of data after being encrypted. • Key-A secret value used during the encryption and decryption process • Encryption-Method of transforming plain text into an unreadable format • Decryption-Method of obtaining the encrypted message back to its original form.
  • 6. TYPES OF ALGORITHMS Cryptographic algorithms Symmetric key Asymmetric key (Shared secret key) (Public key)
  • 8. TYPES OF SYMMETRIC CIPHERS • Stream ciphers – Encrypts one bit/character at a time • Block ciphers – Break plaintext message in equal-size blocks – Encrypts each block as a unit
  • 9. SUBSTITUTION CIPHER • Substituting by a character “key” places ahead of the current character a)Monoalphabetic cipher (Stream cipher) • Eg. PlainText : THIS IS AN EASY TASK • Key : 3 • Encryption : WKLV LV DQ HDVB WDVN b) Polyalphabetic cipher (Block cipher) • Eg : THIS IS AN EASY TASK. • Make group of 3 characters and a set of keys used could be 135. THI SIS ANE… Encryption : UKN TLX…
  • 10. TRANSPOSITION CIPHER • Transposition ciphers use the letters of the plaintext message, but they permute the order of the letters. Encrypt : hello my dear friend Key: 2143 1. Remove spaces 2. Divide the text into blocks of 4 characters. 3. Add bogus character(s) at the end(if reqiured). hello myde arfr iend Ciphertext: ehol ymed rarf eidn After decryption : hello myde arfr iend
  • 11. VERNAM CIPHER • Each character from the plaintext is encrypted by a modular addition which a number from the secret random key pad which is of the same length as the plain text. Step 1: Convert the letters to their numeric equivalents V E R N A M C I P H E R 21 4 17 13 0 12 2 8 15 7 4 17 Assume the random 2 digit no. series (key) 76 48 16 82 44 03 58 11 60 05 10 88 Step 2: Add the numeric equivalent and the corresponding random no. Random no + numeric equivalent =sum Sum 97 52 33 95 44 15 60 19 75 12 14 105
  • 12. VERNAM CIPHER Step 3 : Perform sum mod 26 19 0 7 17 18 15 8 19 23 12 14 1 Ciphertext ---- t a h r s p i t x m o b Decryption Step 1 a = (numeric equivalent of ciphertext - key) Step 2 a mod 26 (if a negative then keep adding 26 till you get a positive no.) Step 3 Convert numeric equivalent back to alphabet
  • 13. A5/1 STREAM CIPHER • GSM uses A5/1 as a cryptographic algorithm. • Phone communication in GSM is done as a sequence of 228 bit frames. • A5/1 creates a bit stream of 228 bits in a 228 bit buffer which is EX-Ored with 228 bits of plain text to generate the ciphertext.
  • 15. A5/1 STREAM CIPHER • It was initially kept secret, but became public knowledge through leaks and reverse engineering. • COPACOBANA was the first commercially available solution to break the cipher.
  • 16. RC4 STREAM CIPHER • Most widely used stream cipher used in popular protocols such as Secure Sockets Layer (SSL) (to protect Internet traffic) and WEP (to secure wireless networks). • Designed by Ron Rivest in 1984. • Hence the name RC4( Rivest cipher 4). • Fluhrer, Mantin and Shamir attack AND Klein's Attack are a few attempts.
  • 17. RC4 STREAM CIPHER • Consists of 2 parts: Key Scheduling Algorithm (KSA) & Pseudo-Random Generation Algorithm • 8 bits of the plain text is Exored with a byte of the key to produce a byte of ciphertext. • Key stream is a a sequence of bytes( can contain 1-256 bytes).
  • 18. DATA ENCRYPTION STANDARD (DES) • Modern symmetric key block cipher. • Developed by IBM and then published by National Institute of standards and technology(NIST). • Vulnerable only because of its small key length. • Often used in VPN servers.
  • 19. DES ALGORITHM • DES is a Feistel cipher – 64 bit block length – 56 bit key length – 16 rounds – 48 bits of key used each round (subkey) • Each round is simple (for a block cipher) • Security depends primarily on “S-boxes” – Each S-boxes maps 6 bits to 4 bits
  • 20. L R key 32 28 28 expand shift shift One 48 28 28 Round 32 Ki 48 of 48 compress S-boxes 28 28 DES 32 P box 32 32 32 key L R
  • 21. DES ATTACKS • Brute force attack • Differential cryptanalysis • Linear cryptanalysis • Improved Davies' attack • distributed.net and the Electronic Frontier Foundation collaborated to publicly break a DES key in 22 hours and 15 minutes • Now replaced by AES
  • 22. ADVANCED ENCRYPTION STANDARD (AES) • Replacement for DES • AES competition (late 90’s) – NSA openly involved – Transparent process – Many strong algorithms proposed – Rijndael Algorithm ultimately selected • Iterated block cipher (like DES) • Not a Feistel cipher (unlike DES) • 3 versions are : AES - 128 AES - 192 AES – 256 • Used in Open SSL and WPA2
  • 23. AES OVERVIEW • Block size: 128, 192 or 256 bits • Key length: 128, 192 or 256 bits (independent of block size) • 10 to 14 rounds (depends on key length) • Each round uses 4 functions (in 3 “layers”) – ByteSub (nonlinear layer) – ShiftRow (linear mixing layer) – MixColumn (nonlinear layer) – AddRoundKey (key addition layer)
  • 24. ATTACKS • Side-channel attack • Brute force attack • XSL attack • Related-key attack • Known-key distinguishing attack
  • 26. RSA • The most common public-key algorithm is the RSA cryptosystem, named for its inventors (Rivest, Shamir, and Adleman). • Applications 1. To protect web traffic, in the SSL protocol (Security Socket Layer), 2. To guarantee email privacy and authenticity in PGP (Pretty Good Privacy) 3. To guarantee remote connection in SSH (Secure Shell) 4. Furthermore it plays an important role in the modern payment systems through SET protocol (Secure Electronic Transaction).
  • 27. ALGORITHM • Let p and q be two large prime numbers • Let N = pq be the modulus • Find ф(n)=(p-1).(q-1) • Choose e such that it is relatively prime to ф(n). • Choose d such that : e x d mod ф(n)=1 • Public key is (N,e) • Private key is d • To encrypt message M compute – C = Me mod N • To decrypt C compute – M = Cd mod N
  • 28. RSA ATTACKS • Factoring the Public Key To make RSA secure recommended size of p and q is 512 bits(154 decimal digits). This makes n 1024 bits. • Guessing d • Cycle Attack • Common Modulus
  • 29. Diffie Hellman • Invented by Williamson (GCHQ) and, independently, by D and H (Stanford) • A “key exchange” algorithm – Used to establish a shared symmetric key - Not for encrypting or signing but for exchanging keys.
  • 30. 1. P is very large prime no and g is its primitive root. 2. Alice chooses a large random no. x such that 0<= x <= p-1 and calculates R1= gx mod p. 3. Bob chooses another large random no. y such that 0<= y <= p-1 and calculates R2=gy mod p. 4. Alice sends R1 to Bob. Alice does not send x; she only sends R1. 5. Bob sends R2 to Alice. Bob does not send y; he only sends R2. 6. Alice calculates K= (R2)x mod p. 7. Bob calculates K= (R1)y mod p.
  • 31. ATTACKS 1. Discrete logarithm attack Intruder can intercept R1 and R2. If he can find x from R1=gx mod p and y from R2=gy mod p then he can calculate k=gxy mod p 2. Man in the middle attack.
  • 32. SOME CRYPTOGRAPHIC HASHES a) MD5(Message Digest 5) • Developed by Ron Rivest of MIT. • Was the mostly used secure hash algorithm till it was cracked. • Takes an input msg of arbitrary length and produces as output a 128-bit message digest. • The input is processed in 512-bit block. • Attacks possible on MD5 are Bruteforce and Fast collision attacks.
  • 33. SOME CRYPTOGRAPHIC HASHES b) SHA-1(Secure hash algorithm) • Developed by NIST(National Institute of standards and technology). SHA-1 Logic : • The algorithm takes as input a message with a maximum length of less than 264 bits and produces a 160-bit message digest. • The input is processed in 512-bit blocks.
  • 34. TOOLS FOR CRYPTANALYSTS • Ganzúa-A cryptanalysis tool for classical ciphers • EverCrack - Open Source Cryptanalysis Engine • Lepton's Crack • Online crackers
  • 35. SOME RESOURCES • CRYPTOGRAPHY CLASS BY STANFORD http://www.crypto-class.org/ • Awesome videos http://www.intypedia.com/ • CRYPTOGRAPHY AND NETWORK SECURITY -BEHEROUZ A FOROUZAN
  • 36. THANK YOU