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| Section | Objectives |
|---|---|
| Topic 1: Asymmetric Encryption | - Public key cryptography principles - RSA and ECC fundamentals |
| Topic 2: Symmetric Encryption | - Block and stream ciphers - AES and legacy algorithms (e.g., DES conceptually) |
| Topic 3: Hash Functions and Message Authentication | - Cryptographic hash functions (e.g., SHA family concepts) - MAC and HMAC mechanisms |
| Topic 4: Key Management and PKI | - Certificates, certificate authorities, and PKI structure - Key exchange and lifecycle management |
| Topic 5: Cryptographic Protocols and Applications | - Secure communication design principles - TLS/SSL conceptual overview |
| Topic 6: Foundations of Cryptography | - Historical and modern cryptography principles - Core concepts of confidentiality, integrity, authentication, non-repudiation |
>> Introduction-to-Cryptography模擬資料 <<
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質問 # 79
(Which symmetric encryption technique uses a 112-bit key size and a 64-bit block size?)
正解：D
解説：
3DES (Triple DES) is a symmetric block cipher that retains DES's 64-bit block size while increasing effective security by applying DES multiple times. The common "two-key 3DES" variant uses two independent 56-bit DES keys (K1 and K2) in an Encrypt-Decrypt-Encrypt (EDE) sequence: Encrypt with K1, Decrypt with K2, then Encrypt again with K1. Because each DES key is 56 bits (ignoring parity bits), the total keying material is 112 bits. This matches the question's "112-bit key size and 64- bit block size." Plain DES uses only a 56-bit effective key and a 64-bit block size, so it does not match the 112-bit key size. AES has a 128-bit block size and key sizes of 128/192/256. IDEA uses a 64-bit block size but has a 128-bit key. Therefore, the correct algorithm is 3DES. Although 3DES improved on DES, it is now considered legacy due to its small 64-bit block size (birthday-bound issues for large data volumes) and performance overhead compared to AES.
質問 # 80
(A security analyst is using 3DES for data encryption. Which 3DES key size is valid?)
正解：B
解説：
3DES (Triple DES) applies the DES block cipher three times to increase effective security, and its commonly cited valid key sizes correspond to how many independent DES keys are used. Two-key
3DES uses two 56-bit DES keys (K1 and K2) in an EDE sequence (Encrypt with K1, Decrypt with K2, Encrypt with K1), yielding 112 bits of keying material (ignoring parity bits). Three-key 3DES uses three independent 56-bit keys for a total of 168 bits of keying material, but that option is not listed here.
A 56-bit key corresponds to single DES, not 3DES. 128-bit is associated with AES, not 3DES. 2,048-bit is typical for RSA keys, not symmetric ciphers. Therefore, among the choices provided, 112-bit is a valid 3DES key size. While 3DES is now deprecated for many uses due to its 64-bit block size and performance limitations, understanding its keying options remains important for legacy system assessment.
質問 # 81
(What type of encryption uses different keys to encrypt and decrypt the message?)
正解：B
解説：
Asymmetric encryption (also called public key cryptography) uses a pair of mathematically related keys: a public key and a private key. One key is used to encrypt, and the other is used to decrypt, which is the defining "different keys" property asked in the question. In the common confidentiality use case, a sender encrypts a message using the recipient's public key, and only the recipient can decrypt it using their private key. This solves the key distribution problem inherent in symmetric encryption, where both parties must securely share the same secret key in advance. Asymmetric systems also enable digital signatures: the private key signs (creates a signature) and the public key verifies it, providing authenticity and integrity. Symmetric encryption, by contrast, uses the same shared key for both encryption and decryption (even though internal round keys may exist, it is still one shared secret). "Private key" alone is not a full encryption type, and
"secure" is a generic description rather than a cryptographic category. Therefore, the correct answer is D.
Asymmetric.
質問 # 82
(Which is a primary reason for ethical concerns about encryption?)
正解：D
解説：
Ethical concerns about encryption commonly arise from the tension between individual privacy/security and societal needs such as law enforcement, national security, and public safety. Strong end-to-end encryption can prevent unauthorized parties from accessing data, including criminals and foreign adversaries, but it can also limit legitimate government access to communications and evidence-even with warrants-because providers may not possess the keys needed to decrypt. This has fueled debates around "going dark," lawful access, and proposals for exceptional access mechanisms or backdoors. Critics argue that weakening encryption for access would create systemic risk, since any intentional vulnerability can be exploited by malicious actors, while proponents emphasize investigative needs in serious cases. Regardless of the stance, the primary ethical concern reflected in policy debates is that encryption complicates government access to information that may be crucial for preventing or investigating crime. The other options do not capture the main ethical controversy: encryption is widely beneficial beyond corporations, and it is not primarily about speed or storage reduction. Therefore, the correct answer is B.
質問 # 83
(What is the value of 51 mod 11?)
正解：A
解説：
The value 51 mod 11 is the remainder after dividing 51 by 11. Modular arithmetic is widely used in cryptography to keep computations within a finite set of residues, such as in RSA where values are taken modulo n, or in Diffie-Hellman where exponents and group elements are reduced modulo a prime. To compute 51 mod 11, find the largest multiple of 11 less than or equal to 51. Multiples of 11 are 11, 22, 33, 44,
55. The closest without exceeding 51 is 44. Subtracting gives 51 # 44 = 7, so the remainder is 7. Therefore, 51 mod 11 = 7, matching option "07." This remainder is always in the range 0 through 10 because the modulus is
11. Such residue computations underpin the "wraparound" behavior that makes modular exponentiation and inverse computations well-defined in cryptographic groups.
質問 # 84
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