11-Cryptography

Table of Contents

Cryptography

Cryptography Basics

  • Science or study of protecting information whether in transit or at rest

  • Rendering the information unusable to anyone who can't decrypt it

  • Taking plain text, applies cryptographic method, turn it into cipher text

  • Cipher: an algorithm performing encryption and decryption

Classical Ciphers

  • Substitution: bits are replaced by other bits

  • Transposition: not replacing, simply changes order

Modern Ciphers

Based on type of key used

  • Private Key: same key used for encryption and decryption

  • Public Key: 2 different keys used for encryption and decryption

Based on type of input data

  • Block Cipher

    • Data bits are split up into blocks and fed into the cipher

    • Each block of data (usually 64 bits) is encrypted with key and algorithm

    • Simpler and slower than stream ciphers

    • Key chosen for cipher must have a length larger than the data, if not, it is vulnerable to frequency attacks

  • Stream Cipher

    • Readable bits are encrypted one at a time in a continuous stream

    • Working at a high rate of speed

    • Usually done by an XOR operation (exclusive or)

      0 XOR 0 = 0
      1 XOR 1 = 0
      0 XOR 1 = 1
      1 XOR 0 = 1

Cryptanalysis Methods

  • Study and methods used to crack cipher text

  • Linear Cryptanalysis

    • Working best on block ciphers

    • Given enough pairs of plaintext and corresponding ciphertext, key can be obtained

  • Differential Cryptanalysis

    • Applying to symmetric key algorithms

    • Comparing differences in the inputs to how each one affects the outcome

    • Working with chosen plaintext originally, also works with known plaintext and ciphertext

  • Integral Cryptanalysis

    • Useful against block ciphers

    • Input vs Output comparison same as differential, however, runs multiple computations of the same block size input

Code Breaking Methodologies

  • Brute Force: exhaustive search, keys are determined by trying every possible combination of characters

  • Frequency Analysis: study of the frequency of letters or groups of letters in a ciphertext, can be used to crack a substitution cipher, like rotation cipher ROT13

  • Trickery and Deceit

    • Requiring a high level of mathematical and cryptographic skills

    • Using social engineering techniques to trick someone to encrypt and send a known message

  • One-time Pad

    • Assuming to be unbreakable

    • A shared random key that has to be the same length or longer than the cipher text

    • Each individual bit or character of plaintext is encrypted by combining it with the corresponding bit or character from the pad using modular addition

    • Drawback: key length is same as that of message, impossible to encrypt and send large messages

Encryption Algorithms and Techniques

  • Algorithm: step-by-step method of solving a problem

  • Encryption Algorithms: mathematical formulas used to encrypt and decrypt data

  • Keys should still change on a regular basis even though they may be "unhackable"

  • Per U.S. Government, an algorithm using at least a 256-bit key cannot be cracked

Encryption types in OSI

Encryption type

OSI layer

Link encryption

2, everything including original headers is encrypted

Network encryption

3, everything in the packet is encrypted

Protocol encryption

4, specific protocols are entirely encrypted eg. SSL

Service based encryption

5, encryption for specific services on specific hosts

Data encryption

6

Application based information encryption

7

Symmetric Encryption

  • One key is used to encrypt and decrypt the data, known as single key or shared key

  • Problems include key distribution and management

  • Suitable for large amounts of data

  • Harder for groups of people because more keys are needed as group increases

  • Doing nothing for non-repudiation, only performs confidentiality

DES (Data Encryption Standard)

  • Block cipher, 56-bit key, 64-bit block size

  • Quickly outdated and now considered not very secure

  • Kerberos 1-4 used DES

3DES (Triple Data Encryption Standard)

  • Block cipher, 168-bit key

  • More effective than DES but much slower

  • 3 keys are used:

    • 1st key is used to encrypt the plain text

    • 2nd key is used to decrypt ciphertext resulting from the first round of encryption

    • 3rd key is used to encrypt the ciphertext that resulted from the decryption with the 2nd key

AES (Advanced Encryption Standard)

  • Iterated block cipher, 128, 192 or 256 bit key, 128-bit block size

  • Symmetric key algorithm

  • Working by repeating same operation multiple times

  • Replacing DES, much faster than DES and 3DES

  • Original name is Rijndael

RC (Rivest Cipher)

  • RC4 is a symmetric key stream cipher

  • RC5 is a parameterized algorithm with variable block size, 128-bit key, 2-bit working registers

  • RC6 is a symmetric key block cipher, uses integer multiplication and 4-bit working registers

Blowfish

  • Fast symmetric block cipher, 64-bit block size, 32 to 448 bits key

  • Replaced by AES

  • Considered public domain

Twofish

  • Block cipher, 128-bit block, up to 256 bit key

Asymmetric Encryption

  • Using two types of keys for encryption and decryption

  • One key encrypts, the other decrypts

  • The private key is used to digitally sign a message

RSA (Rivest–Shamir–Adleman)

  • Achieving strong encryption through the use of two large prime numbers

  • Factoring two prime numbers to create key sizes up to 4096 bits

  • Modern de-facto encryption standard

  • Downside: slower than symmetric especially on bulk encryption and processing power

Diffie-Hellman

  • Developed as a key exchange protocol

  • Used in SSL and IPsec

  • If digital signatures are waived, vulnerable to MITM attacks

ECC (Elliptic Curve Cryptosystem)

  • Using points on elliptical curve along with logarithmic problems

  • Using less processing power, smaller keys, good for mobile devices

Public Key Infrastructure (PKI)

  • Structure designed to verify and authenticate the identity of individuals

  • Cross-Certification

    • Allowing a CA to trust another CS in a completely different PKI

    • Allowing both CAs to validate certificates from either side

  • Single-authority system: CA at the top that creates and issues certificates

  • Hierarchical trust system

    • CA at the top (root CA)

    • Making use of one or more RAs (subordinate CAs) underneath it to issue and manage certificates

Components of PKI

  • Certificate Management System: generates, distributes, stores, and verifies certificates

  • Validation Authority: (VA) used to validate certificates, stores certificates with their public keys

  • Certificate Authority: (CA) third party to issue and verify digital certificates

    • Comodo

    • IdentTrust

    • Symantec

    • GoDaddy

  • End user: requests, manages, and uses certificates

  • Registration Authority: (RA) acts as verifier for the certificate authority

PKI Process Flow

A user applies for a certificate with his public key at a RA. RA confirms the user's identity to CA which in turn issues the certificate. The user can then digitally sign a contract using his new certificate. His identity is then checked by the contracting party with a VA which again receives information about issued certificates by the CA.

                     Cert. info
  --------> CA --------------------------> VA
  |         |                              |^
  |OK       |                              ||
  |         |                              ||
  RA        |Cert.                      OK || Cert.
  ^         |                              ||
  |Pub. K   |                              ||
  |         v    Sign with Cert.           v|
  --------- User ---------------> Contracing Party

Digital Certificates

  • Certificate: electronic file that is used to verify a user's identity, provides non-repudiation

    • Non-repudiation: a recipient can ensure the identity of the sender and neither party can deny sending

  • X.509: standard used for digital certificates, public key encryption

  • Self-Signed Certificates

    • Not signed by a CA

    • Signed by the same entity it certifies

    • Generally not used for public, used for development purposes

    • The certificate verification rarely occurs due to necessity of disclosing the private key

Digital Signatures

  • Unforgeable and authentic

  • When signing a message, you sign it with your private key and the recipient decrypts the hash with your public key

  • Digital Signature Algorithm (DSA): used in generation and verification of digital signatures per FIPS 186-2

Digital Signature workflow

- Sign
        Hashing Algo.                     Digital Sign
Message -------------->   Message    ------------------------->    Message
                       + hash value  using sender's PRIVATE key  + singed hash

- Seal
   Encrypt                                    Seal
----------------> Encrypted message --------------------------> Sealed message
using one-time    + sysmmetric key    Encrypt sysmmetric key
sysmmetric key                      using recipient's PUBLIC key

- Open
                       Decrypt                                        Decrypt
Sealed message --------------------------->   Encrypted message  -------------------->    Message
               with recipient's PRIVATE key  + sysmmetric key     with sysmmetric key   + signed hash

- Verify
  Unlock signed hash                    Rehash message & Compare
----------------------->    Message     -------------------------> Verified message
with sender's PUBLIC key  + Hash value

Full Disk Encryption (FDE)

  • Encrypting every bit of data stored on a disk or a disk volume

  • Working similar to text-message encryption and protects data even OS is not active

  • Preventing real-time exchange of information from compromising threats

  • Ensuring security of the system

  • Tools

    • VeraCrypt

    • Symantec Drive Encryption

    • BitLocker Drive Encryption

Encrypted Communication

Secure Sockets Layer (SSL)

  • Using both asymmetric and symmetric authentication mechanisms

  • Encrypting data at Transport Layer and above

  • Using RSA asymmetric encryption and digital certificates

  • Having largely been replaced by TLS

Channelsecurity

  • Private channel:: encrypted messages, a simple handshake defines secret key

  • Authenticated channel: encrypted server endpoint, client endpoint is optionally authenticated

  • Reliable channel: message transfer has an integrity check

SSL/TLS handshake process

--------                                       --------
│Client│                                       │Server│
--------                                       --------
   │                                              │
   │                Cipher Suite                  │
   │--------------------------------------------->│
   │                                              │
   │           SSL Cert. (Public Key)             │
   │<---------------------------------------------│
   │                                              │
Public Key                                        │
Verified                                          │
   │            Encrypted Session Key             │
   │      (generated using server Public Key)     │
   │--------------------------------------------->│
   │                                         Session Key
   │                                          decrypted
   │            Session Key is in place           │
   │<-------------------------------------------->│
   │                                              │
   │ Session Key used for encryption & decryption │
   │<-------------------------------------------->│
--------                                       --------
│Client│                                       │Server│
--------                                       --------

Transport Layer Security (TLS)

  • Using RSA 1024 and 2048 bits, successor to SSL

  • Allowing both client and server to authenticate to each other

  • TLS Record Protocol provides secured communication channel

Two Layers

  • TLS Record Protocol

    • Connection is private: using symmetric cryptography for data encryption

    • Connection is reliable: providing message integrity check

  • TLS Handshake Protocol

    • Providing connection security that has three basic properties:

      • The peer's identity can be authenticated using asymmetric cryptography

      • The negotiation of a shared secret is secure

      • The negotiation is reliable

    • TLS Handshake Protocol operates on top of TLS record layer

PGP (Pretty Good Privacy)

  • Features conventional and public key cryptography

  • The file format uses asymmetric encryption to encrypt a symmetric encryption key

  • The symmetric encryption key encrypts the data

  • Both symmetric and asymmetric keys are used, known as hybrid cryptosystem

  • Used for signing, compress and encryption of emails, files and directories

  • Using a decentralized model, called web of trust, where individual users sign keys that belong to other people to validate that key are who they say they are

PGP Encryption and Decryption Workflow

- Encryption
        Compress                 Encrypt
Data ----------------> -----------------------------> Cipher text
     reduce patterns   with Random key as secret key

                    Encrypt
Random key --------------------------> Encrypted Random key
           with recipient's PUBLIC key

- Decryption
                              Decrypt
Encrypted Random key ---------------------------> Random key
                     with recipient's PRIVATE key

               Decrypt
Cipher text ---------------> Data
            with Random key

Cryptography Attacks

  • Known-plaintext Attack (KPA)

    • Obtaining some plaintext blocks along with corresponding ciphertext and cipher

    • Working on block ciphers, linear cryptanalysis

  • Ciphertext-only Attack: (COA)

    • Gaining copies of several ciphertexts with the same algorithm

    • Recovering encryption key from ciphertext

  • Chosen-plaintext Attack (CPA)

    • Obtaining ciphertexts corresponding to a set of plaintexts of attacker's own choosing

    • Attempting to derive the key used

    • Adaptive Chosen-plaintext Attack

      • Modifying content of message by making a series of interactive queries, choosing subsequent plaintexts based on the information from the previous encryptions

  • Chosen-Ciphertext Attack (CCA)

    • Obtaining plaintexts corresponding to a set of ciphertexts of attacker's own choosing

    • Must have access to communication channel between sender and receiver

      • Lunchtime Attack or Midnight Attack: attacker can have access to system for only a limited amount of time, can access only few plaintext-ciphertext pairs

      • Adaptive Chosen-ciphertext (CCA2): selecting a series of ciphertexts and then observes the resulting plaintext blocks

  • Related-key Attack: obtaining ciphertexts encrypted under two different keys, useful if attacker can obtain plaintext and matching ciphertext

  • Dictionary Attack: constructing a dictionary of plaintext along with its corresponding ciphertext

  • Chosen-key Attack: breaking an n bit key cipher into 2^n/2 numbers of operations

  • Timing Attack: repeatedly measuring exact execution times of modular exponentiation operations

  • Meet-in-the-middle Attack

    • Using some sort of time-space trade-off to drastically reduce the effort to perform a brute-force attack (e.g., transforming an attack that requires 2exp128 time into one that takes 2exp64 time and 2exp64 space)

    • May also refer to a type of attack over certain block ciphers, where the attacker decompose the problem in two halves and proceeds on each part separately

  • Side-Channel Attack: monitoring environmental factors such as power consumption, timing and delay

  • DUHK Attack (Don't Use Hard-Coded Keys)

    • Allowing attackers to access keys in certain VPN implementations

    • Affecting devices using ANSI X9.31 with a hard-coded seed key

  • Escrow key

    • Stored in a safe place by a trusted third party

    • Enabling companies to remain compliant with government mandates regarding its ability to gain access when necessary

    • Government Access to Keys (GAK) allowing the government to gain access to encrypted communications without interference from the company being investigated

  • Tools

    • L0phtcrack: used mainly against Windows SAM files

    • John the Ripper: UNIX/Linux tool for the same purpose

    • CrypTool

    • Cryptobench

Hash Algorithms

  • One-way mathematical function that produces a fix-length string (hash) based on the arrangement of data bits in the input

  • Used for integrity

  • Salt: used with a hash to obscure the hash, collection of random bits

MD5 (Message Digest algorithm)

  • Produces 128 bit hash expressed as 32 digit hexadecimal number

  • Having serious flaws

  • Still used for file download verification

SHA (Secure Hash Algorithms)

  • SHA-1: 160 bits, developed by NSA

  • SHA-2

    • Four separate hash functions

    • Outputs of 224, 256, 384 and 512 bits

    • SHA-256 uses 32-bit block words

    • SHA-512 uses 64-bit block words

  • SHA-3: using sponge construction

RIPEMD (RACE Integrity Primitives Evaluation Message Digest)

  • 160-bit hash algorithm

  • Working through 80 stages made up of 6 blocks that executes 16 times each

  • Using modulo 32 addition

Attacks

  • Collision

    • Occurring when two or more files create the same hash output

    • Rare but can happen and can be used an attack

  • Birthday attack: attack that depends on the higher likelihood of collisions found between random attack attempts and a fixed degree of permutations

  • Rainbow Tables: containing precomputed hashes to try and find out passwords

  • Tools

    • HashCalc

    • MD5 Calculator

Steganography

  • Practicing of concealing a message inside another medium so that only the sender and recipient know of its existence

  • Steganalysis: the process of discovering the existence of the hidden information in a medium, the reverse process of steganography

Methods

  • Least significant bit insertion: changes least meaningful bit

  • Makes and filters (grayscale images): like watermarking

  • Algorithmic transformation: hides in mathematical functions used in image compression

  • Noisy areas: noisy areas are those that draw less attention, like areas with a great deal of natural color variation in the image

  • Transform domain technique: Steganography hides the information in significant parts of the cover image such as cropping, compression, and some other image processing areas

Ways to Identify

  • Text: character positions are key; blank spaces, text patterns

  • Image: file larger in size; some may have color palette faults

  • Audio & Video: require statistical analysis

Tools

  • QuickStego

  • gifshuffle

  • MP3Stego

  • SNOW

  • OpenStego

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