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What does encryption do to plaintexts?
What does encryption do to plaintexts?
What type of encryption uses the same key for both encryption and decryption?
What type of encryption uses the same key for both encryption and decryption?
In the equation c ← E(k, p), what does 'c' represent?
In the equation c ← E(k, p), what does 'c' represent?
What is true about decryption in this context?
What is true about decryption in this context?
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What is the main concern for Alice when sending a message to Bob?
What is the main concern for Alice when sending a message to Bob?
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Which aspect of security does encryption specifically address?
Which aspect of security does encryption specifically address?
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Why is encryption typically randomized?
Why is encryption typically randomized?
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What role does the key play in encryption?
What role does the key play in encryption?
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What is the approximate probability of sampling either 00000000 or 10011101 from a byte?
What is the approximate probability of sampling either 00000000 or 10011101 from a byte?
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Which of the following methods can be used to test random inputs?
Which of the following methods can be used to test random inputs?
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What is a major issue with relying solely on statistical tests for cryptographic security?
What is a major issue with relying solely on statistical tests for cryptographic security?
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Where is the Pseudorandom Generator (PRG) accessible in Linux systems?
Where is the Pseudorandom Generator (PRG) accessible in Linux systems?
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Why must system calls related to PRG be handled with caution?
Why must system calls related to PRG be handled with caution?
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What is a key requirement for symmetric encryption regarding keys and messages?
What is a key requirement for symmetric encryption regarding keys and messages?
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What principle opposes the idea of keeping encryption systems secret?
What principle opposes the idea of keeping encryption systems secret?
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Why is keeping encryption method details secret considered a poor strategy?
Why is keeping encryption method details secret considered a poor strategy?
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What does Kerckhoffs’s Principle suggest about public knowledge of cryptographic systems?
What does Kerckhoffs’s Principle suggest about public knowledge of cryptographic systems?
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What is a critical warning advised regarding personal cryptographic systems?
What is a critical warning advised regarding personal cryptographic systems?
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What is the principle behind utilizing public knowledge in cryptography?
What is the principle behind utilizing public knowledge in cryptography?
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What misconception might lead an individual to believe in the security of a poorly designed encryption system?
What misconception might lead an individual to believe in the security of a poorly designed encryption system?
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Which statement reflects the essence of Kerckhoffs’s Principle?
Which statement reflects the essence of Kerckhoffs’s Principle?
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What is the primary method for generating keys in symmetric cryptography?
What is the primary method for generating keys in symmetric cryptography?
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Why are asymmetric keys typically much larger than symmetric keys?
Why are asymmetric keys typically much larger than symmetric keys?
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What is the purpose of key wrapping in cryptography?
What is the purpose of key wrapping in cryptography?
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What type of hardware is ideal for storing cryptographic keys securely?
What type of hardware is ideal for storing cryptographic keys securely?
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Which statement about key generation in asymmetric cryptography is true?
Which statement about key generation in asymmetric cryptography is true?
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What is often considered the most sensitive material a secure system holds?
What is often considered the most sensitive material a secure system holds?
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Which of the following methods provides high security for key storage?
Which of the following methods provides high security for key storage?
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What is a characteristic of RSA keys used in asymmetric cryptography?
What is a characteristic of RSA keys used in asymmetric cryptography?
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What is a common size for keys in cryptographic systems?
What is a common size for keys in cryptographic systems?
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What is the estimated age of the universe in nanoseconds?
What is the estimated age of the universe in nanoseconds?
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What does n-bit security imply regarding the strength of a key?
What does n-bit security imply regarding the strength of a key?
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What is the best attack to break a scheme with n-bits of security?
What is the best attack to break a scheme with n-bits of security?
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When considering security measures, what does a brute-force attack do?
When considering security measures, what does a brute-force attack do?
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Why cannot l-bit keys provide more than n-bit security?
Why cannot l-bit keys provide more than n-bit security?
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Which event is less likely to occur based on the content provided?
Which event is less likely to occur based on the content provided?
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What represents a significant challenge in perceiving very large numbers?
What represents a significant challenge in perceiving very large numbers?
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What is a defining characteristic of block ciphers?
What is a defining characteristic of block ciphers?
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What process does 3DES employ for encryption?
What process does 3DES employ for encryption?
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Which component of AES is responsible for rearranging the rows of the state array?
Which component of AES is responsible for rearranging the rows of the state array?
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What is the main security reason for using the SubBytes transformation in AES?
What is the main security reason for using the SubBytes transformation in AES?
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What is a common issue when using block ciphers to encrypt messages directly?
What is a common issue when using block ciphers to encrypt messages directly?
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What was one of the criteria for selecting AES as the standard block cipher?
What was one of the criteria for selecting AES as the standard block cipher?
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In AES, what is the purpose of the MixColumns operation?
In AES, what is the purpose of the MixColumns operation?
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What is unique about the key length options in AES?
What is unique about the key length options in AES?
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How is the encryption process structured in AES?
How is the encryption process structured in AES?
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What does the term 'invertible' imply regarding block ciphers?
What does the term 'invertible' imply regarding block ciphers?
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What is the primary function of the AddRoundKey step in AES?
What is the primary function of the AddRoundKey step in AES?
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What does the key $ ext{k}$ represent in the encryption function $E(k, p)$?
What does the key $ ext{k}$ represent in the encryption function $E(k, p)$?
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Which of the following best describes the output of the Encrypt function?
Which of the following best describes the output of the Encrypt function?
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What aspect of block ciphers does the term 'deterministic algorithms' refer to?
What aspect of block ciphers does the term 'deterministic algorithms' refer to?
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Study Notes
Computer Security Foundations Week 8: Symmetric Encryption
- Symmetric encryption is a cryptographic technique where the same key is used for both encryption and decryption.
- Encryption transforms plaintexts into ciphertexts using a key.
- Decryption transforms ciphertexts back into plaintexts using the same key.
- Encryption guarantees confidentiality, but additional guarantees like authenticity and non-repudiation may be needed in real-world applications for secure systems.
- There exist many types of encryption, including symmetric, asymmetric, authenticated, homomorphic, etc.
- The presentation outlines symmetric encryption, emphasizing the concept and related algorithms.
What is Encryption?
- Encryption transforms plaintext into ciphertext using a key.
- Encryption notation: c ← E(k, p), where c is ciphertext, k is key, and p is plaintext. Encryption is typically randomized.
- Decryption notation: p ← D(k, c), where p is plaintext, k is key, and c is ciphertext. Decryption is deterministic.
- Symmetric encryption uses the same key for both encryption and decryption.
What we talk about when we talk about Security
- Alice wants to send a secure message to Bob, which must be protected against an attacker.
- The core question is, what does it mean for encryption to be "secure".
- Security requires that the attacker cannot reveal anything about the original message, considering different scenarios.
Caesar Cipher
- A simple substitution cipher.
- Uses a fixed or variable shift size as a key.
- The algorithm shifts the plaintext a fixed number of characters.
Substitution Ciphers
- A more general substitution cipher than the Caesar cipher.
- Involves changing the characters in a defined way with a defined key.
- The size of the key space is very large (26!), making brute-force attacks impractical without massive computational resources.
- Frequency letter attacks can break this type of cipher by exploiting the frequency distribution of letters in the original language.
Frequency Letter Attacks
- Frequency letter attacks exploit common letter frequencies in a language to potentially decrypt ciphertexts.
- The attacker gathers ciphertexts and counts the frequency of each letter or other characters.
- They compare that frequency to common frequencies in the plaintext. This matching process often reveals patterns to decrypt the message.
- Frequency analysis can be used in breaking ciphers.
Rotor Machines
- Machines using rotors to encrypt and decrypt messages.
- Some examples include the Hebern machine and the Enigma machine.
- Multiple rotors are used, each rotor and their permutation combination forms the main key, so the key's size is much larger than simpler substitutions.
The one-time pad
- A method of encryption considered perfectly secure (as long as the key is used only once).
- It involves applying the bitwise XOR operation between the plaintext and the randomly generated key of the same size.
- The key must be as long as the message. This is computationally inefficient.
Kerckhoffs's Principle
- The idea that security should not depend on the secrecy of the algorithm, but rather on the secrecy of the key.
- All details of a cryptosystem's operation must be public.
- The only secret is the key, promoting scrutiny and analysis by the community which reduces the number of vulnerabilities.
AES (Advanced Encryption Standard)
- A widely used block cipher.
- Standardized in 2000, replacing older standard algorithms.
- Key features include SubBytes, ShiftRows, MixColumns, AddRoundKey, which combine substitution and permutation operations to secure the cipher.
- AES uses a block size of 128 bits and varying key sizes.
Modes of Operation
- Block ciphers by themselves are insecure.
- Modes of operations are methods used to encrypt messages of varying lengths.
- In the presentation, ECB, CBC, CTR are covered.
Cipher Block Chaining (CBC)
- A more sophisticated mode, where each block is dependent on the preceding blocks, making it more secure.
- It involves an Initialization Vector.
Counter Mode (CTR)
- A very efficient mode, where the key stream can be preprocessed.
- Used in nonce based cryptography, where the counter is used to create a pseudo-random string of the same length as the message, which creates the keystream needed for encryption.
Quantifying Security
- Best attack to break a cipher with 'n' bit security, requires 2n steps in a brute-force attack.
- n-bit security means the minimum number of steps for breaking the scheme is 2n.
Good Security Values (Real-world Crypto)
- A 2128 rule of thumb approach is considered a good benchmark.
- Designers aim for security that needs an effort proportional to the age of the universe to break.
Key Takeaways
- Encryption involves encryption and decryption algorithms which transform plain text into cipher text and vice versa.
- Classical ciphers can be subject to attacks if their keyspace is not large. The one-time pad is a theoretical exception to this.
- Modern ciphers use modes of operation which combine the block cipher primitive for encrypting messages of all lengths correctly.
- Randomness is crucial to cryptographic security.
- Proper key management prevents key recovery, and key wrapping provides another layer of protection for the keys.
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Test your understanding of encryption concepts, including how encryption transforms plaintexts and the type of encryption that uses the same key for both encryption and decryption. This quiz will help reinforce key ideas related to data security.