Cryptography Techniques and Analysis

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of cipher is used to encrypt the BBC news article in the text?

  • Polyalphabetic cipher (correct)
  • Transposition cipher
  • Monoalphabetic substitution cipher
  • Caesar cipher

What is the first step in attempting to decrypt the cipher-text?

  • Performing frequency analysis
  • Splitting the text into blocks
  • Finding the keyword length (correct)
  • Decrypting the most frequent letter

What is the index of coincidence for the sequence of every other letter (k=2) in the ciphertext?

  • 0.04695 (correct)
  • 0.05435
  • 0.0668
  • 0.069209

What does the index of coincidence suggest about the keyword length?

<p>The keyword length is most likely 6. (A)</p> Signup and view all the answers

What is the most frequent letter in the first sequence of 6 letters?

<p>X (D)</p> Signup and view all the answers

What letter is most likely decrypted as X in the first sequence?

<p>e (A)</p> Signup and view all the answers

What is the significance of the decrypted text from the first sequence?

<p>It represents only the first, seventh, thirteenth, etc. letters of the original message. (D)</p> Signup and view all the answers

What are the two most frequent letters in the second sequence, which begins with SNJT?

<p>J and X (B)</p> Signup and view all the answers

What is the most frequent letter in the third sequence, which begins with FRV?

<p>H (C)</p> Signup and view all the answers

What is the common triple used to help determine the shift for the second sequence?

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

What are the possible shifts for the second sequence, based on the common triple 'the'?

<p>e to O, D, V, J, or Y (D)</p> Signup and view all the answers

What is the name of the technique used to determine the keyword length?

<p>Index of coincidence (A)</p> Signup and view all the answers

What is the expected value of the index of coincidence for English text?

<p>0.0668 (C)</p> Signup and view all the answers

What is the cipher-text distribution compared to the standard English letter frequencies?

<p>The cipher-text distribution is flat and lacks the distinctive spike at the left suggesting a mismatch with the standard English letter frequencies. (C)</p> Signup and view all the answers

What type of cipher is the Vigenere cipher considered?

<p>Polyalphabetic cipher (D)</p> Signup and view all the answers

What is the fundamental technique used in a substitution cipher?

<p>Shifting letters in the alphabet by a fixed amount (D)</p> Signup and view all the answers

How many different Caesar shift ciphers exist?

<p>26 (A)</p> Signup and view all the answers

What helps simplify the process of deciphering using Caesar shift ciphers?

<p>Employing a cipher wheel (B)</p> Signup and view all the answers

What does the inner wheel of a cipher wheel represent?

<p>Cipher-text (D)</p> Signup and view all the answers

In the context of these notes, what does the term 'brute force' refer to?

<p>Systematically trying each possible shift until the correct one is found (A)</p> Signup and view all the answers

Which historical figure is most commonly associated with Caesar shift ciphers?

<p>Julius Caesar (D)</p> Signup and view all the answers

What is a key characteristic of the text produced by applying a substitution cipher to plaintext?

<p>It is completely unreadable without a key (B)</p> Signup and view all the answers

What is indicated by the convention that cipher-text is written in capital letters?

<p>Cipher-text is distinguished from plaintext (A)</p> Signup and view all the answers

What is a crib in the context of cipher cracking?

<p>A known piece of plaintext used for decryption (D)</p> Signup and view all the answers

How did weather reports contribute to cracking the naval Enigma encryptions?

<p>They offered similar information to Allied vessels for comparison. (D)</p> Signup and view all the answers

Which of the following factors does NOT contribute to deciphering secure messages?

<p>Rigorous memorization of codes (A)</p> Signup and view all the answers

What does the author imply about the process of deciphering a message?

<p>It combines elements of hard work, skill, and sometimes luck. (B)</p> Signup and view all the answers

What was one reported weakness in cipher security during the war?

<p>Careless use of call signs and mission codewords (C)</p> Signup and view all the answers

What methodology is primarily used to break a Caesar shift cipher?

<p>Analysing the frequency of letters (A)</p> Signup and view all the answers

Why is the letter 'e' significant in frequency analysis of English text?

<p>It is the most common letter in English. (B)</p> Signup and view all the answers

In the keyword substitution cipher, what is the first step in creating an encryption table?

<p>Choosing a keyword or phrase. (C)</p> Signup and view all the answers

What makes a keyword substitution cipher more difficult to break compared to a Caesar shift cipher?

<p>It relies on a keyword, increasing complexity. (C)</p> Signup and view all the answers

In the context of frequency analysis, which letter would likely be the most common in English text?

<p>E (A)</p> Signup and view all the answers

How is the keyword substitution cipher constructed from the keyword 'SIMPSONS'?

<p>By omitting spaces and duplicates, followed by unused letters. (D)</p> Signup and view all the answers

Given a frequency analysis, which factor can give a hint to the letter 'e' in a shift cipher?

<p>Identifying the most common letter. (C)</p> Signup and view all the answers

What is the total number of possible arrangements in a keyword cipher using all the letters without repetition?

<p>26! (B)</p> Signup and view all the answers

Which common three-letter English word is often a clue in deciphering texts?

<p>The (A)</p> Signup and view all the answers

Which of the following describes the primary role of spaces in a ciphertext?

<p>They separate different encrypted words. (A)</p> Signup and view all the answers

What is the significance of letter 'H' in the example cipher mentioned?

<p>It appears more frequently than other letters. (B)</p> Signup and view all the answers

Which of the following is a fundamental characteristic of a keyword substitution cipher?

<p>It relies on a keyword to rearrange the alphabet. (D)</p> Signup and view all the answers

For the keyword substitution cipher, which factor helps in frequency analysis for breaking it?

<p>Recognizing the shapes of words. (C)</p> Signup and view all the answers

What does the term 'crib' refer to in the context of deciphering a cipher?

<p>A hint or clue used to crack a cipher (A), A common phrase or word in the target language (D)</p> Signup and view all the answers

How can the transposition cipher be made more secure?

<p>By reading the cipher-text off by columns (C)</p> Signup and view all the answers

Which of the following letter combinations suggests they should be brought together when deciphering English text?

<p>Q and U (B)</p> Signup and view all the answers

What position do the letters P, M, and S suggest when trying to determine the keyword length for a transposition cipher?

<p>They should be far apart (C)</p> Signup and view all the answers

What is the significance of the number 210 in relation to the cipher-text?

<p>It is the product of the column heights possible (A)</p> Signup and view all the answers

What does the table of distances between T and H letters indicate?

<p>The proximity of letters in the original text (D)</p> Signup and view all the answers

When deciphering, which column height would lead to a keyword length that is feasible?

<p>Height of 30 (C)</p> Signup and view all the answers

What method is suggested for positioning letters to assist in decryption?

<p>Tabulating positions and distances (A)</p> Signup and view all the answers

What is a likely outcome of having a keyword that is too short in a transposition cipher?

<p>Easier decryption (B)</p> Signup and view all the answers

What is a key feature of the transposition cipher described?

<p>It rearranges the letters but maintains their frequency (B)</p> Signup and view all the answers

In the example provided, which word was mentioned as a simple crib for testing?

<p>THE (A)</p> Signup and view all the answers

When analyzing the distances of letters in the cipher, what is being directly sought?

<p>Common divisors of distances (A)</p> Signup and view all the answers

Why should some column heights be considered unlikely for the keyword?

<p>They suggest unreasonable keyword lengths (B)</p> Signup and view all the answers

What is the purpose of using frequency analysis in code-breaking?

<p>To analyze patterns in letter occurrences (A)</p> Signup and view all the answers

What does the affine shift cipher formula x → ax + b signify?

<p>a determines the multiplicative factor, while b is an additive constant (B)</p> Signup and view all the answers

Why can two different affine shift ciphers result in the same encrypted value for a letter?

<p>The multiplicative and additive factors can intersect (A)</p> Signup and view all the answers

What condition must the multiplication factor 'a' meet to ensure the affine cipher is decipherable?

<p>It must be coprime to 26 (D)</p> Signup and view all the answers

How many possible affine shift ciphers can be created based on the discussed rules?

<p>312 (B)</p> Signup and view all the answers

What is the result of applying the affine transformation x → 3x + 5 to the letter 'b' (position 2)?

<p>11 (D)</p> Signup and view all the answers

What must be done if the result of the affine cipher exceeds 26?

<p>Subtract 26 until it is less than 26 (A)</p> Signup and view all the answers

What is the main reason frequency analysis can make a brute force attack on affine ciphers faster?

<p>Due to the predictable patterns of vowel usage (C)</p> Signup and view all the answers

What could happen if 'a' is chosen carelessly in an affine cipher?

<p>Different letters could map to the same value (D)</p> Signup and view all the answers

In the equation for the Caesar shift cipher x → x + n, what does 'n' represent?

<p>The shift amount applied to letters (A)</p> Signup and view all the answers

Which letter's mapping is the same in both the Caesar shift x → x + 3 and the affine shift x → 3x + 5?

<p>y (A)</p> Signup and view all the answers

What is a common characteristic of all ciphers that use the affine transformation?

<p>They are all substitution ciphers (B)</p> Signup and view all the answers

What is the purpose of finding the multiplicative inverse in the context of solving for 'a' in affine ciphers?

<p>To ensure 'a' remains an integer (C)</p> Signup and view all the answers

Which method is used to decipher messages encoded with affine ciphers?

<p>Solving simultaneous equations in modular arithmetic (A)</p> Signup and view all the answers

In the example provided, if 'S' is believed to correspond to 'e' and 'L' to 't', what modular equation is set up from this assumption?

<p>5a + b = 19 mod 26 (A), 20a + b = 12 mod 26 (C)</p> Signup and view all the answers

What is the primary reason to use a Vigenère cipher instead of a simple substitution cipher?

<p>It disguises the frequencies of plaintext letters (D)</p> Signup and view all the answers

How does a Vigenère cipher recover the original plain text from the cipher text?

<p>By shifting characters back according to a pre-agreed sequence (B)</p> Signup and view all the answers

What does the index of coincidence (ioc) measure in relation to ciphertext analysis?

<p>The likelihood that two randomly chosen letters are the same (A)</p> Signup and view all the answers

If 'a' is determined to be 3 in the affine cipher scheme, what is the resulting function for the cipher transformation?

<p>x → 3x + 4 (D)</p> Signup and view all the answers

In the table of multiplicative inverses mod 26, what is the multiplicative inverse of 15?

<p>7 (A)</p> Signup and view all the answers

What technique can be used to estimate the length of the keyword in a Vigenère cipher?

<p>Analysis of repeated strings in the text (A)</p> Signup and view all the answers

What potential issue arises when using a polyalphabetic cipher like the Vigenère cipher?

<p>Limited options for encoding letters (B)</p> Signup and view all the answers

What does a typical index of coincidence (ioc) value look like for standard English text?

<p>0.0686 (D)</p> Signup and view all the answers

What mathematical process is used to find the value of 'b' after determining 'a' in the affine cipher?

<p>Substituting 'a' into one of the original equations (D)</p> Signup and view all the answers

In constructing a Vigenère cipher, which of the following must both parties agree on?

<p>The key phrase or keyword to determine shifts (B)</p> Signup and view all the answers

What does a Caesar shift of 4 specify for the letter 'a'?

<p>It maps to D (D)</p> Signup and view all the answers

What is the most likely mapping for the letter 'e' based on the frequency analysis?

<p>J (A)</p> Signup and view all the answers

Which of the following is NOT a characteristic of a symmetric encryption system?

<p>Involves complex algorithms only (C)</p> Signup and view all the answers

What might the spies use to remember the sequence of shifts 19, 5, 3, 18, 5, 20?

<p>Lottery numbers (B)</p> Signup and view all the answers

What is the purpose of filling the middle ring of the cipher wheel with letters of the alphabet?

<p>For designing a personal cipher (C)</p> Signup and view all the answers

What is the result intended by applying the function 3x in the affine cipher?

<p>To perform a linear transformation on the text (C)</p> Signup and view all the answers

What issue did the German encryption systems present during World War II?

<p>They did not sufficiently scramble messages (A)</p> Signup and view all the answers

Which of the following correctly represents the most basic transformation in encryption?

<p>Replacing letters with numbers (D)</p> Signup and view all the answers

What does the code phrase 'ESCAPE ROOM' represent when used in creating a cipher?

<p>A simple substitution method (A)</p> Signup and view all the answers

What does the process of creating a cipher alphabet generally involve?

<p>Skipping certain letters based on repetition (D)</p> Signup and view all the answers

What is indicated by the positions of letters r, y, and p being enciphered as JDJ?

<p>They have been encoded through a specific shift mapping (D)</p> Signup and view all the answers

What aspect of encryption does the term 'confidentiality' primarily refer to?

<p>The secrecy of the information being transmitted (D)</p> Signup and view all the answers

How are patterns typically obscured in encrypted data?

<p>With complex algorithms that don't reveal structure (C)</p> Signup and view all the answers

What is a key characteristic of transposition ciphers?

<p>They rearrange the letters based on a specific rule. (A)</p> Signup and view all the answers

What should be avoided when choosing a keyword for a transposition cipher?

<p>Using a word with repeated letters. (A)</p> Signup and view all the answers

During the encryption process using the keyword 'BAD', how is the grid rearranged?

<p>By sorting the columns alphabetically. (D)</p> Signup and view all the answers

In the example given, what does padding the last box with an 'X' accomplish?

<p>It ensures the grid is filled for proper alignment. (A)</p> Signup and view all the answers

If the keyword has repeated letters, what should you do when constructing the grid?

<p>Ignore the repeated letters and only use the unique ones. (B)</p> Signup and view all the answers

What is a common method to solve a transposition cipher if you suspect a specific word is present?

<p>Consider anagrams of the suspected word. (B)</p> Signup and view all the answers

What does the length of the cipher-text help determine?

<p>The size of the keyword. (A)</p> Signup and view all the answers

Which of the following statements about keyword construction for transposition ciphers is true?

<p>All letters in the keyword must be unique. (A)</p> Signup and view all the answers

What is suggested to try first when attempting to decode a cipher?

<p>Estimate potential keyword lengths based on ciphertext. (C)</p> Signup and view all the answers

What makes a transposition cipher different from a substitution cipher?

<p>Transposition ciphers jumble the arrangement of letters. (C)</p> Signup and view all the answers

What is the function of a 'crib' in breaking a transposition cipher?

<p>It identifies likely words or phrases within the ciphertext. (A)</p> Signup and view all the answers

Which method is effective when the plaintext is in a different language than the cipher?

<p>Look for familiar short words or phrases. (A)</p> Signup and view all the answers

If a suspected keyword is 'TOFFEE', how will it impact the grid width?

<p>It will create a width of 4 when repeats are removed. (C)</p> Signup and view all the answers

When analyzing cipher-text for potential keywords, which is NOT considered helpful?

<p>Discarding non-valuable characters. (D)</p> Signup and view all the answers

What is the significance of the index of coincidence value close to 0.0686?

<p>It suggests a simple substitution or transposition cipher is likely. (A)</p> Signup and view all the answers

What is the weakness of the Vigenère cipher related to the index of coincidence?

<p>Every kth letter is encrypted using the same Caesar shift. (C)</p> Signup and view all the answers

Why was the Enigma machine considered an effective polyalphabetic cipher?

<p>Each letter was encrypted with its own unique cipher. (D)</p> Signup and view all the answers

Which feature of the Enigma machine allowed it to function correctly?

<p>The machine settings had to be identical for two machines to work. (A)</p> Signup and view all the answers

What can be said about the number of settings available for the military Enigma?

<p>It had over 158 quintillion different configurations. (B)</p> Signup and view all the answers

What role did Polish cryptographers play in the history of the Enigma machine?

<p>They reconstructed the machine's workings before the war. (D)</p> Signup and view all the answers

What was one of the primary methods used to crack the Enigma cipher?

<p>Performing a rigorous cryptographic analysis. (B)</p> Signup and view all the answers

How did the setup of the Enigma machine contribute to its encryption?

<p>The setup determined how each letter would be encoded. (C)</p> Signup and view all the answers

What was the common misconception about breaking the Enigma cipher?

<p>Brute force would succeed given enough manpower. (D)</p> Signup and view all the answers

What does the Pringle Can Enigma illustrate?

<p>The basic principles behind the Enigma's operation. (C)</p> Signup and view all the answers

What type of cipher is the Enigma classified as?

<p>A polyalphabetic cipher. (A)</p> Signup and view all the answers

Who is credited with the design of the Enigma machine?

<p>Arthur Scherbius (D)</p> Signup and view all the answers

Why was the Enigma machine difficult to decrypt?

<p>Its configurations changed daily. (C)</p> Signup and view all the answers

What can be said about the historical impact of the Enigma machine?

<p>It became the standard in secure communication for many years. (C)</p> Signup and view all the answers

What was the keyword to solve the cipher in this extract?

<p>The Keyword (A)</p> Signup and view all the answers

What is the term used by cryptographers for groups of three letters?

<p>Trigrams (D)</p> Signup and view all the answers

What does the author suggest doing before reading on, to help decipher the text?

<p>Trying to identify other likely substitutions (D)</p> Signup and view all the answers

The author states that the frequency analysis helps us to identify what?

<p>Common letters and common words (C)</p> Signup and view all the answers

What is the main weakness that the author describes in the ciphers discussed so far?

<p>Preservation of word structure (A)</p> Signup and view all the answers

What is the most common English trigram?

<p>the (B)</p> Signup and view all the answers

What does the author imply is the best way for enemies to break a code?

<p>By discovering the keyword and cipher alphabet (A)</p> Signup and view all the answers

What is the suggested way to overcome the preservation of word structure?

<p>Block text into groups of characters to disrupt the original structure (B)</p> Signup and view all the answers

What does the author suggest about the length of the text blocks?

<p>Carelessly choosing a block length can reveal aspects of the keyword. (A)</p> Signup and view all the answers

According to the author, what is the advantage of building a cipher alphabet with a keyword?

<p>It makes it easier to memorize the alphabet and therefore the key. (C)</p> Signup and view all the answers

What does "hMZeXeS iO the IeC RaL Ae RMKKitteY tM KeKMSC it is" decipher to?

<p>have to the easy to to make it is (A)</p> Signup and view all the answers

What is the most common letter pair in the English language?

<p>th (A)</p> Signup and view all the answers

What is the main point the author is trying to convey about frequency analysis?

<p>It is a simple but effective method to identify common letters and words. (A)</p> Signup and view all the answers

What is the purpose of the author writing this text?

<p>To demonstrate the practical use of frequency analysis in breaking ciphers (B)</p> Signup and view all the answers

What is the author's tone in the text?

<p>Engaging and encouraging (B)</p> Signup and view all the answers

Flashcards

Substitution Ciphers

A method of encoding where each letter is replaced by another letter.

Caesar Shift Cipher

A specific type of substitution cipher where letters are shifted by a fixed number.

Cipher-text

The encoded version of a message, typically in capital letters.

Plaintext

The original, unencoded message, usually in lowercase.

Signup and view all the flashcards

Brute Force Decoding

Systematically trying all possible keys to decode a cipher.

Signup and view all the flashcards

Cipher Wheel

A mechanical tool to help encode or decode messages using Caesar shifts.

Signup and view all the flashcards

Fixed Rule

A consistent method for replacing each letter in a cipher.

Signup and view all the flashcards

Number of Caesar Shifts

There are only 26 possible shifts in a Caesar cipher.

Signup and view all the flashcards

Cipher

A method for transforming plain text into encoded text.

Signup and view all the flashcards

Enciphered Letters

Uppercase letters in a cipher representing encoded characters.

Signup and view all the flashcards

Plaintext Characters

Lowercase letters in a cipher representing regular text.

Signup and view all the flashcards

Frequency Analysis

Method to identify common letters and words in text.

Signup and view all the flashcards

Keyword in Cipher

A specific word or phrase used to create a cipher alphabet.

Signup and view all the flashcards

Digraph

A pair of letters analyzed in cryptography.

Signup and view all the flashcards

Trigram

A set of three letters analyzed in cryptography.

Signup and view all the flashcards

Cipher Alphabet

A substitution set of letters used in a cipher.

Signup and view all the flashcards

Removing Punctuation

A method to disguise word structure in ciphers.

Signup and view all the flashcards

Grouping Characters

Placing characters together in blocks for analysis.

Signup and view all the flashcards

Single Letter Word

A one-letter cipher that usually represents a vowel.

Signup and view all the flashcards

Common Words in English

Words like 'the' and 'and' frequently found in text.

Signup and view all the flashcards

Vigenère Cipher

A method of encrypting text using a keyword.

Signup and view all the flashcards

Character Count Table

A table displaying occurrences of each character.

Signup and view all the flashcards

Common Letter Patterns

Frequent groups of letters like 'th', 'he', and 'an'.

Signup and view all the flashcards

Affine Shift Cipher

A type of cipher that uses a mathematical function to encode letters.

Signup and view all the flashcards

Shift Amount (n)

The number added to the position of letters in a shift cipher.

Signup and view all the flashcards

Modular Arithmetic

A system of arithmetic for integers where numbers wrap around after reaching a certain value.

Signup and view all the flashcards

Key to Cipher

A pair of values (a,b) defining how to encode/decode in affine ciphers.

Signup and view all the flashcards

Coprime Numbers

Two numbers are coprime if their greatest common divisor is 1.

Signup and view all the flashcards

Degree of Freedom in Cipher

The number of independent values that can be changed in a cipher without affecting others.

Signup and view all the flashcards

Encryption Function

A mathematical function that transforms plaintext into ciphertext.

Signup and view all the flashcards

Decryption Function

The inverse of the encryption function that transforms ciphertext back into plaintext.

Signup and view all the flashcards

Simultaneous Equations

A set of equations with multiple variables that can be solved together.

Signup and view all the flashcards

Substitution for Letters

Replacing one letter with another based on a rule or key in ciphers.

Signup and view all the flashcards

Math Function in Ciphers

A rule that uses mathematical operations to encode or decode messages.

Signup and view all the flashcards

Letter Enciphering

The process of converting a letter to its coded form using a cipher.

Signup and view all the flashcards

Brute Force Attack

A method of breaking ciphers by trying all possible keys until the correct one is found.

Signup and view all the flashcards

Codebreaking

The process of deciphering encrypted messages.

Signup and view all the flashcards

Letter E

The most common letter in English text.

Signup and view all the flashcards

Keyword substitution cipher

A cipher that uses a keyword to reorganize the alphabet.

Signup and view all the flashcards

Creating an encryption table

The process of arranging letters based on a keyword.

Signup and view all the flashcards

Jumbled alphabet

A mixed-up arrangement of letters used in ciphers.

Signup and view all the flashcards

Most common three-letter word

The word 'the', often hinted in ciphers.

Signup and view all the flashcards

Spaces in text

Indicate word structure in encrypted messages.

Signup and view all the flashcards

Encoding a word

The process of transforming plaintext into ciphertext.

Signup and view all the flashcards

Distinct English words

Over 250,000 unique words which complicate cipher cracking.

Signup and view all the flashcards

Deciphering

The process of converting ciphertext back to plaintext.

Signup and view all the flashcards

Transposition Ciphers

Ciphers where letters are rearranged but not substituted in encoding.

Signup and view all the flashcards

Encoding Example

Encoding 'The quick brown fox jumps over the lazy dog' using a keyword.

Signup and view all the flashcards

Grid Construction

Creating a table to arrange keywords and plaintext for encoding.

Signup and view all the flashcards

Padding in Ciphers

Adding a placeholder letter to fill empty spaces in a grid.

Signup and view all the flashcards

Alphabetic Order

Rearranging keywords in alphabetical sequence for encoding.

Signup and view all the flashcards

Crib in Cryptography

A known word or phrase used to help decipher a message.

Signup and view all the flashcards

Cipher-text Length

The total number of characters in an encoded message.

Signup and view all the flashcards

Factor Length of Cipher-text

Determining possible grid sizes based on text length.

Signup and view all the flashcards

Anagram in Ciphers

Rearranging letters of a word to form a new word used in decrypting.

Signup and view all the flashcards

Jumbled Message

A message where letters are mixed up according to rules.

Signup and view all the flashcards

Deleting Repeated Letters

Removing duplicates in a keyword to simplify encoding.

Signup and view all the flashcards

Decryption Process

The method of untangling a transposed or encoded message.

Signup and view all the flashcards

Keyword Length Impact

The relationship between keyword size and cipher-text structure.

Signup and view all the flashcards

Index of Coincidence (IOC)

A statistical measure used to identify the type of cipher being used based on letter frequency.

Signup and view all the flashcards

Simple Substitution Cipher

A type of cipher where each letter in the plaintext is replaced by a letter a fixed number of positions down the alphabet.

Signup and view all the flashcards

Polyalphabetic Cipher

A cipher that uses multiple substitution alphabets to encrypt a message.

Signup and view all the flashcards

Key (in ciphers)

A specific piece of information used to both encrypt and decrypt a message.

Signup and view all the flashcards

Caesar Shift

A type of substitution cipher where each letter is replaced by a letter a fixed number of positions down the alphabet.

Signup and view all the flashcards

Enigma Machine

A famous electro-mechanical device used for encrypting messages during World War II.

Signup and view all the flashcards

Rotor Machines

Devices that use rotating disks to change input letters to output letters in ciphers.

Signup and view all the flashcards

Polish Cryptographers

Cryptanalysts who worked on breaking the Enigma cipher before WWII.

Signup and view all the flashcards

Cipher Analysis

The study and interpretation of ciphers to understand and decrypt them.

Signup and view all the flashcards

Electromechanical Device

A machine that uses both electrical and mechanical processes to perform a function.

Signup and view all the flashcards

Cryptography

The practice of secure communication by encoding messages.

Signup and view all the flashcards

Scherbius

The engineer who developed the Enigma machine.

Signup and view all the flashcards

Crib

A known piece of plaintext used to help decrypt a cipher.

Signup and view all the flashcards

Context in Communication

The surrounding circumstances which can aid in deciphering a message.

Signup and view all the flashcards

Call Signs

Designations used to identify military units which can expose security flaws.

Signup and view all the flashcards

Perseverance in Cipher Cracking

The continuous effort needed to solve complex ciphers.

Signup and view all the flashcards

Combination of Tools

Using various methods together to successfully decipher a message.

Signup and view all the flashcards

Shift Mapping

A method in ciphers that shifts letters a certain number of places down the alphabet.

Signup and view all the flashcards

Key Word Substitution

A technique where a secret word replaces regular alphabet letters in a cipher.

Signup and view all the flashcards

Affine Cipher

A type of cipher that uses mathematical functions for letter substitution.

Signup and view all the flashcards

Enciphering Process

The act of converting plaintext into ciphertext using a specific cipher method.

Signup and view all the flashcards

Secret Keys

Special codes shared between senders and receivers for decrypting messages.

Signup and view all the flashcards

Transformed Data Streams

The jumble of information created by encryption methods.

Signup and view all the flashcards

Symmetric Encryption

A type of encryption where the same key is used for both encoding and decoding.

Signup and view all the flashcards

Cipher-text Construction

The creation of coded messages using defined substitutions and shifts.

Signup and view all the flashcards

Complex Encryption Methods

Advanced techniques used to obscure text, involving multiple transformations.

Signup and view all the flashcards

Plaintext to Ciphertext

The transformation process of regular text into an encoded form.

Signup and view all the flashcards

Columnar Transposition

Reading cipher-text by columns instead of rows for added security.

Signup and view all the flashcards

Keyword Length

The number of letters in the key used for a cipher.

Signup and view all the flashcards

Positions in Cipher-text

Exact locations of letters within the ciphered message.

Signup and view all the flashcards

Divisor of 210

Factors of 210 that could represent possible column heights.

Signup and view all the flashcards

H and T Relationship

Common adjacency of the letters T and H in English words.

Signup and view all the flashcards

Height of Columns

The number of rows in a columnar transposition cipher.

Signup and view all the flashcards

Common Divisors

Shared factors that help determine feasible column heights.

Signup and view all the flashcards

Anagramming

Rearranging letters to form different words or patterns.

Signup and view all the flashcards

Pattern Recognition

Identifying recurring sequences in letters to aid decryption.

Signup and view all the flashcards

Letter Frequency

The occurrence rate of specific letters in the cipher-text.

Signup and view all the flashcards

Cryptogram

A type of puzzle consisting of encrypted text to decode.

Signup and view all the flashcards

Letter Separation

When specific letters are found apart, suggesting a special cipher method.

Signup and view all the flashcards

Keyword Length (k)

The length of the keyword used in a polyalphabetic cipher, usually greater than 1.

Signup and view all the flashcards

Block Splitting

Dividing ciphertext into segments of equal length for analysis.

Signup and view all the flashcards

Ciphertext Distribution

The frequency distribution of letters in the encrypted message.

Signup and view all the flashcards

Most Common Letter

The letter that appears most frequently in a sequence.

Signup and view all the flashcards

Affine Shift Mapping

A method of shifting letters in an affine cipher where both addition and multiplication are used.

Signup and view all the flashcards

Triple Patterns

Identifying common sequences of three letters in decryption to solve ambiguities.

Signup and view all the flashcards

Decrypt

The process of converting ciphertext back into plaintext.

Signup and view all the flashcards

Nonsense Output

Garbage data that results from incorrect decryption or analysis.

Signup and view all the flashcards

Common English Statistics

Data about letter frequency in the English language used for cipher analysis.

Signup and view all the flashcards

Encryption Key Pair (a, b)

Two values that define the transformation in an affine cipher.

Signup and view all the flashcards

Multiplicative Inverse

A number that, when multiplied by a given number, results in 1 in modular arithmetic.

Signup and view all the flashcards

Shift Pattern

A sequence of numbers indicating how much to shift each letter in a Vigenère cipher.

Signup and view all the flashcards

Iterative Shifting

Repeatedly shifting letters based on a set pattern in polyalphabetic ciphers.

Signup and view all the flashcards

Letter Distribution

Refers to how often different letters appear in a given text.

Signup and view all the flashcards

Trial and Error

A method of solving problems by attempting multiple solutions until finding the correct one.

Signup and view all the flashcards

Encoding Key

A keyword or phrase used to define the shifting pattern for encoding.

Signup and view all the flashcards

Study Notes

Substitution Ciphers

  • Caesar Shift Ciphers: A simple substitution cipher where each letter is shifted a fixed number of positions in the alphabet.
  • Example: 'a' becomes 'D', 'b' becomes 'E', etc.
  • Decryption: Only 26 possible shifts, easy to crack by brute force (trying each shift).
  • Cipher Wheel: A mechanical device to quickly generate and use Caesar shift ciphers to encode/decode.
  • Frequency Analysis: Crucial for cracking more complex ciphers. Common letters in English text (e.g., 'e') appear more frequently.
  • Example Analysis: Analyze the frequency of letters in the ciphertext and compare to expected frequencies in the English language. The most frequent ciphertext letter often corresponds to the most frequent plaintext letter in English (e.g. "e").
  • Three-letter word crib: Look for recognizable three-letter words (e.g., "the"). The pattern of letters in the first word in the cipher provides hints about the frequency of the letters.

Keyword Substitution Ciphers

  • Mechanism: The encryption table is constructed using a keyword or key phrase, shuffling the alphabet.
  • Construction (ex.):
    • Input: "SIMPSONS"
    • Generate without repeated characters: "SIMPSNQRTUVWXYZ…"
    • Arrange in order and combine with original alphabet.
  • Security: Keyword substitution ciphers are significantly harder to break than Caesar shift ciphers.
  • Frequency Analysis (keyword substitution): The same frequency analysis method used for Caesar ciphers can be applied here to find common letters and words.

Affine Shift Ciphers

  • Mechanism: Uses mathematical operations (addition and multiplication modulo 26) to encrypt.
  • Example: x → 3x + 5
  • Example Encryption Table (ex.): a → H, b → K, c → N, etc.
  • Key: A pair of numbers (a, b) acts as the encryption key.
  • Decryption: The encryption function must have an inverse. For a rule of x → ax + b to be a cipher, a must have a multiplicative inverse modulo 26.
    • Inverse (ex.): If a=3 then the inverse a'=9.
  • Finding the key: If two letters and their corresponding ciphertext equivalents are known, simultaneous equations can be solved to find 'a' and 'b'.

Polyalphabetic Ciphers (Vigenère Cipher)

  • Mechanism: Uses multiple Caesar ciphers to encrypt letters in the plaintext to disguise the frequency distribution.. Each letter in the ciphertext is encrypted with a different Caesar shift.
  • Key: A keyword used to determine the sequence of shifts.
  • Example Key: "Vigenère" (shifts: 22, 9, 7, 5, 14, 5, 18, 5)
  • Frequency Analysis for polyalphabetic ciphers: Use the index of coincidence (ioc) to determine the keyword length (k).
    • Low IOC Value: suggests complex encryption, such as vigenere cipher.
    • High IOC Value: suggests simple encryption, such as Caesar shift.

The Enigma Machine

  • Mechanism: A complex polyalphabetic cipher machine.
  • Encoding: Encrypts each letter with a different custom cipher depending on the key setting and position of rotor(s).
  • Security: The very large number of possible settings made brute-force attacks impractical.
  • Cracking: Polish cryptologists studied the machine, and their work aided the British in breaking the Enigma code during World War II.

Transposition Ciphers

  • Mechanism: Rearranges (transposes) the letters of the plaintext using a keyword.
  • Construction (ex.): Use keyword "BAD", create a grid filled with the input and the keyword, arrange the columns of the grid according to the keyword (arranged alphabetically), and read out the grid.
  • Security: Can be made more secure by changing the order of the rows.
  • Breaking: Analyze the length of the keyword (the text length is a multiple) to determine column width (grid pattern). Using common words or phrases (cribs) as clues.

General Codebreaking Principles

  • Frequency analysis: A critical tool in codebreaking.
  • Context is king: Using available context can help to deduce what word pattern is the most common or appropriate to the text.
  • Try different methods: Don't be limited; try different types and techniques if one doesn't seem to work.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Cipher Techniques for Cybersecurity
12 questions
Cipher Deciphering Challenge
11 questions
SSL Åžifreli Durum (Cipher Suite)
19 questions
Use Quizgecko on...
Browser
Browser