What is One-time pad?

A one-time pad (OTP) is a cryptographic technique that uses a key that is as long as the message itself, and the key is used only once. It is a symmetric key algorithm in which the key is a random sequence of bits, and each bit of the key is used for one and only one encryption or decryption operation. The key is typically generated randomly and shared securely between the parties involved in the communication.

Key characteristics of a one-time pad:

Key Length:

  • The key used in a one-time pad must be at least as long as the message to be encrypted.
  • The key is a truly random sequence of bits.

Key Usage:

  • Each bit of the key is used only once for a specific encryption or decryption operation.
  • Once the key has been used, it is discarded, and a new key is used for the next message.

Security:

  • When used correctly, a one-time pad is considered to be unbreakable if certain conditions are met:
    • The key is truly random.
    • The key is as long as the message and used only once.
    • The key is kept secret and is never reused.

Encryption Process:

  • Encryption involves combining each bit of the plaintext with the corresponding bit of the key using an XOR (exclusive OR) operation.
  • Decryption is the same process, as XORing the ciphertext with the key yields the original plaintext.

Perfect Secrecy:

  • The concept of perfect secrecy is associated with one-time pads. If the key is truly random, and each key is used only once, then the resulting ciphertext provides no information about the plaintext, even to an attacker with unlimited computational resources.

Despite its theoretical security, the practical implementation of one-time pads faces significant challenges, such as the difficulty of generating truly random keys, the need for secure key distribution, and the impracticality of using long keys for large amounts of data. One-time pads are rarely used in modern cryptographic applications due to these challenges, but the concept remains important in the theoretical study of cryptography and information theory.