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What is a brute force attack?

by Laurent Marion / Tuesday, 30 January 2024 / Published in Cybersecurity, EITC/IS/CCF Classical Cryptography Fundamentals, History of cryptography, Modular arithmetic and historical ciphers

Brute force is a technique used in cybersecurity to crack encrypted messages or passwords by systematically trying all possible combinations until the correct one is found. This method relies on the assumption that the encryption algorithm used is known, but the key or password is unknown. In the field of classical cryptography, brute force attacks have been historically employed to decrypt messages encrypted using various ciphers based on modular arithmetic.

To understand how brute force attacks work, let's consider an example using a simple substitution cipher. In this cipher, each letter of the plaintext is replaced with a different letter from the alphabet. For instance, the letter 'A' might be replaced with 'D', 'B' with 'F', and so on. If we receive an encrypted message and want to decrypt it, but we don't know the substitution key, we can use a brute force attack.

In a brute force attack on a substitution cipher, we would systematically try all possible keys until we find the correct one. Since there are 26 letters in the English alphabet, there are 26! (factorial) possible keys. This means that there are approximately 4 x 10^26 possible keys to try. By trying each key, we can decrypt the message and find the correct substitution key.

Brute force attacks can also be applied to other historical ciphers that rely on modular arithmetic, such as the Caesar cipher. In the Caesar cipher, each letter of the plaintext is shifted by a fixed number of positions in the alphabet. For example, with a shift of 3, 'A' would become 'D', 'B' would become 'E', and so on. By systematically trying all possible shifts, a brute force attack can decrypt the message.

It's important to note that the effectiveness of a brute force attack depends on the complexity of the encryption algorithm and the length of the key or password. As the key length increases, the number of possible combinations grows exponentially, making a brute force attack impractical or even impossible within a reasonable timeframe.

To protect against brute force attacks, various countermeasures can be implemented. These include using longer and more complex keys or passwords, implementing account lockouts after a certain number of failed login attempts, and employing algorithms that are resistant to brute force attacks.

Brute force is a technique used in cybersecurity to crack encrypted messages or passwords by systematically trying all possible combinations until the correct one is found. In the field of classical cryptography, brute force attacks have been historically employed to decrypt messages encrypted using various ciphers based on modular arithmetic. However, the effectiveness of a brute force attack depends on the complexity of the encryption algorithm and the length of the key or password.

Other recent questions and answers regarding EITC/IS/CCF Classical Cryptography Fundamentals:

  • Is cryptography considered a part of cryptology and cryptanalysis?
  • Will a shift cipher with a key equal to 4 replace the letter d with the letter h in ciphertext?
  • Does the ECB mode breaks large input plaintext into subsequent blocks
  • Do identical plaintext map to identical cipher text of a letter frequency analysis attact against a substitution cipher
  • What is EEA ?
  • Are brute force attack always an exhausive key search?
  • In RSA cipher, does Alice need Bob’s public key to encrypt a message to Bob?
  • Can we use a block cipher to build a hash function or MAC?
  • What are initialization vectors?
  • How many part does a public and private key has in RSA cipher

View more questions and answers in EITC/IS/CCF Classical Cryptography Fundamentals

More questions and answers:

  • Field: Cybersecurity
  • Programme: EITC/IS/CCF Classical Cryptography Fundamentals (go to the certification programme)
  • Lesson: History of cryptography (go to related lesson)
  • Topic: Modular arithmetic and historical ciphers (go to related topic)
Tagged under: Brute-force Attack, Caesar Cipher, Cryptanalysis, Cybersecurity, Encryption, Substitution Cipher
Home » Cybersecurity / EITC/IS/CCF Classical Cryptography Fundamentals / History of cryptography / Modular arithmetic and historical ciphers » What is a brute force attack?

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