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History

DES: History, Working, and Algorithm

History

The Data Encryption Standard (DES) was developed in the early 1970s by IBM and later adopted by the U.S. National Institute of Standards and Technology (NIST) as a federal standard for encrypting non-classified information. The cipher was officially announced in 1977 and became widely used in various applications, including financial transactions, government communications, and secure data storage.

Key Historical Points:

  • Development: IBM's research team, led by Horst Feistel, developed DES as part of a project known as Lucifer, which was eventually refined into DES.
  • Standardization: DES was adopted by the National Institute of Standards and Technology (NIST) as FIPS PUB 46 in 1977.
  • Security Concerns: In the late 1990s, advances in computing power led to concerns about DES's security. By 1998, DES was considered insecure against modern brute-force attacks, prompting the introduction of stronger encryption standards like AES (Advanced Encryption Standard).

Working

DES is a symmetric-key block cipher, meaning the same key is used for both encryption and decryption. It operates on fixed-size blocks of data and performs multiple rounds of processing to provide encryption.

Key Concepts:

  • Block Cipher: DES encrypts data in fixed-size blocks of 64 bits.
  • Symmetric Key: DES uses a single key of 56 bits to encrypt and decrypt data.
  • Rounds: DES performs 16 rounds of complex transformations to ensure security.

Algorithm

1. Key Generation:

  • Initial Key: DES uses a 64-bit key, but only 56 bits are used for encryption, with 8 bits used for parity checks.
  • Key Schedule: The 56-bit key is divided into two 28-bit halves. These halves are rotated and permuted to generate 16 different subkeys, each used in one of the 16 rounds.

2. Initial Permutation (IP):

The 64-bit plaintext block is subjected to an initial permutation (IP) that rearranges the bits according to a fixed table.

3. Rounds:

  • Splitting: The permuted block is divided into two 32-bit halves: the left half (L0) and the right half (R0).
  • Feistel Function: Each round involves the Feistel function, which processes the right half and combines it with the left half using the round subkey.
    • Expansion: The 32-bit right half is expanded to 48 bits.
    • Subkey Mixing: The expanded block is XORed with the round subkey.
    • Substitution: The result is substituted using S-boxes, which compress the data from 48 bits to 32 bits.
    • Permutation: The substituted block is permuted to form the new right half for the next round.
  • The halves are swapped at the end of each round.

4. Final Permutation (IP⁻¹):

After 16 rounds, the final permutation (IP⁻¹) is applied to the block to produce the ciphertext.

Example:

Given plaintext P and key K, the encryption process can be outlined as follows:

  1. Initial Permutation (IP): Apply the initial permutation to P.
  2. Rounds: For each round i (from 1 to 16):
    • Split the block into L and R.
    • Compute the new R as: Ri = Li-1 ⊕ F(Ri-1, Ki)
    • Compute the new L as: Li = Ri-1
    • Swap L and R.
  3. Final Permutation (IP⁻¹): Apply the final permutation to the result of the last round.

Decryption

Decryption of DES is simply the reverse of the encryption process:

  • Initial Permutation (IP): Apply to the ciphertext.
  • Rounds: Perform 16 rounds of Feistel function using the subkeys in reverse order.
  • Final Permutation (IP⁻¹): Apply to the result of the last round to get back the original plaintext.

Summary

DES was a widely used symmetric-key algorithm providing strong security at its inception. However, due to its relatively short key length and susceptibility to brute-force attacks, it has largely been replaced by more secure algorithms like AES. Despite this, DES remains a foundational element in the study of cryptography.