Cryptanalysis and Attack Types
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Questions and Answers

What is the primary purpose of searching for repetitions of fragments in a ciphertext?

  • To enhance the randomization of the ciphertext
  • To decode the entire ciphertext without any further analysis
  • To determine the encryption algorithm employed
  • To identify the length of the keyword used in the encryption (correct)
  • Which cryptanalysis method utilizes linear equations to relate plaintext, ciphertext, and keys?

  • Differential Cryptanalysis
  • Integral Cryptanalysis
  • Linear Cryptanalysis (correct)
  • Statistical Cryptanalysis
  • In the context of key length determination, what does the distance 'b * n' refer to?

  • The distance from the start of the ciphertext to the first repeated character
  • The expected frequency of character repetition within the ciphertext
  • The range in which repeated fragments are likely to occur (correct)
  • The maximum conceivable distance for a random character sequence
  • What is differential cryptanalysis primarily based on?

    <p>The variations between two ciphertexts or plaintexts</p> Signup and view all the answers

    Which of the following statements about symmetric cipher attacks is incorrect?

    <p>Differential cryptanalysis focuses on character frequencies</p> Signup and view all the answers

    What type of attack makes use of only ciphertext without any access to plaintext?

    <p>Ciphertext Only Attack</p> Signup and view all the answers

    Which type of attack is characterized by the attacker having access to both ciphertexts and corresponding plaintexts?

    <p>Known Plaintext Attack</p> Signup and view all the answers

    Which attack allows the attacker to create ciphertexts from any chosen plaintext?

    <p>Chosen Plaintext Attack</p> Signup and view all the answers

    What is a characteristic of an Exhaustive Search attack?

    <p>It examines every possible key to find the correct one.</p> Signup and view all the answers

    Which type of attack provides the attacker with the ability to generate the plaintext corresponding to any selected ciphertext?

    <p>Chosen Ciphertext Attack</p> Signup and view all the answers

    Which method does NOT fall into the category of common cryptanalytic attacks?

    <p>Spoofing</p> Signup and view all the answers

    Which type of cipher is particularly hard to attack by hand, as stated in the recap?

    <p>Transposition Cipher</p> Signup and view all the answers

    Which type of attack is considered the most common one, making it easier to retrieve ciphertext?

    <p>Ciphertext Only Attack</p> Signup and view all the answers

    Which letter has the highest frequency at the beginning of a word?

    <p>t</p> Signup and view all the answers

    What is the frequency of the letter 'e' at the end of a word?

    <p>0.1917</p> Signup and view all the answers

    Which of the following is a common bigram in the English language?

    <p>in</p> Signup and view all the answers

    Which letter has a frequency of 6.51% in the German language?

    <p>A</p> Signup and view all the answers

    Which trigram has the highest frequency according to the content?

    <p>the</p> Signup and view all the answers

    What is the frequency of the bigram 'th'?

    <p>0.03882</p> Signup and view all the answers

    What is a characteristic property of natural language mentioned in the content?

    <p>Frequency of certain letters at the beginning of a word</p> Signup and view all the answers

    What frequency does the letter 't' have at the end of a word?

    <p>0.0864</p> Signup and view all the answers

    In the English language, which of the following letters occurs most frequently?

    <p>E</p> Signup and view all the answers

    What happens to the statistical properties of natural language in a polyalphabetic substitution cipher?

    <p>They are destroyed</p> Signup and view all the answers

    Study Notes

    Cryptanalysis

    • Cryptanalysis is the study of methods for obtaining the meaning of encrypted text without knowing the key.
    • Different attack types exist, categorized by the available information to the attacker.

    Types of Attacks in Practice

    • Exhaustive search: Trying all possible keys.
    • Exhaustive search in restricted keyspace: Limited key search space due to poor practice.
    • Exploit malpractice: Key management or storage vulnerabilities.
    • Steal keys: Direct unauthorized access to keys.
    • Spoofing: Deceiving systems into accepting false information.
    • Weaknesses of ciphers: Exploiting flaws in the encryption algorithm itself.

    Types of Attacks in Theory

    • Ciphertext only: Only the ciphertext is available.
    • Known plaintext: Ciphertext and corresponding plaintext are known.
    • Chosen plaintext: Plaintext of choice is encrypted to obtain the ciphertext.
    • Chosen ciphertext: Ciphertext of choice is decrypted to obtain plaintext.

    Ciphertext Only Attack

    • The attacker has access to one or more ciphertexts.
    • This attack method is considered the most difficult.
    • It's the most common scenario in practice due to potential easy retrieval via an unsecured connection.

    Known Plaintext Attack

    • The attacker has access to one or more ciphertexts and their corresponding plaintexts.
    • This type of attack gives the attacker more information compared to a ciphertext-only attack.
    • Less common than a ciphertext-only attack.

    Chosen Plaintext Attack

    • Similar to a known plaintext attack, but the attacker has the possibility to choose the input plaintext to obtain corresponding ciphertext.

    Chosen Ciphertext Attack

    • Similar to a chosen plaintext attack but the attacker chooses the ciphertext input to obtain corresponding plaintext.

    Recap

    • Classical Ciphers: Transposition and Substitution Ciphers
    • Modern Ciphers: Symmetric and Asymmetric Ciphers

    Attack on a Transposition Cipher

    • Hand-based attacks on transposition ciphers are difficult, hence skipped.

    Attack on a Monoalphabetic Substitution Cipher - Letter Frequencies

    • Letter frequencies are used as a comparison for English and German.
    • The presentation includes charts with letter frequencies in both languages.

    Attack on a Monoalphabetic Substitution Cipher - Other Properties of Natural Language

    • Frequency of certain letters at the beginning/end of words.
    • Bi- and Trigrams are important to consider.

    Attack on a Monoalphabetic Substitution Cipher - Beginning and Ending of Words

    • Lists frequencies of letters at beginnings and ends of words in text.

    Attack on a Monoalphabetic Substitution Cipher - Bi- and Trigrams

    • Provides example bigram and trigram frequencies.
    • Tables include frequencies of two letter combinations (bigrams) and three letter combinations (trigrams).

    Attack on a Polyalphabetic Substitution Cipher - Prerequisites

    • Statistical properties of natural language are lost when using polyalphabetic ciphers, but the keyword length (n) leaves repeating sequences.
    • This allows for multiple puzzles to solve for the key.
    • The method to determine n is discussed later.

    Attack on a Polyalphabetic Substitution Cipher - The Kasiski Test

    • The attacker searches for repetitions in the ciphertext.
    • The approach looks for repetitions in fragment sequences to estimate the keyword length (n).
    • The likelihood of finding a repeated sequence within a distance n is higher than a random occurrence.

    Attack on a Symmetric Cipher

    • Symmetric ciphers can be attacked using linear, differential, and integral cryptanalysis.

    Linear Cryptanalysis

    • Based on linear equations relating plaintext, ciphertext, and key.
    • Linear equations combined with known plaintext-ciphertext pairs are used to derive key bits.

    Differential Cryptanalysis

    • Based on differences between two ciphertexts (or plaintexts) often using XOR operations.
    • The pair of differences (differential) of two ciphertexts and their corresponding plaintext is used for analysis.
    • Usually used with a chosen plaintext attack.

    Integral Cryptanalysis

    • Based on sets of plaintexts.
    • A section of selected plaintexts is constant and the next is variable for analysis against sets of corresponding ciphertexts.
    • The sum of the elements of each set is analyzed.

    Attack on an Asymmetric Cipher

    • It's very hard to mount a general attack on asymmetric encryption ciphers.
    • The difficulty stems from the use of mathematical principles with rigorous proofs.

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