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| Section | Objectives |
|---|---|
| Cryptographic Protocols and Applications | - TLS/SSL conceptual overview - Secure communication design principles |
| Key Management and PKI | - Key exchange and lifecycle management - Certificates, certificate authorities, and PKI structure |
| Hash Functions and Message Authentication | - Cryptographic hash functions (e.g., SHA family concepts) - MAC and HMAC mechanisms |
| Symmetric Encryption | - AES and legacy algorithms (e.g., DES conceptually) - Block and stream ciphers |
| Foundations of Cryptography | - Core concepts of confidentiality, integrity, authentication, non-repudiation - Historical and modern cryptography principles |
| Asymmetric Encryption | - Public key cryptography principles - RSA and ECC fundamentals |
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質問 # 21
(What is modular arithmetic in cryptography?)
正解：D
解説：
Modular arithmetic is the mathematics of working with remainders after division by a fixed number called the modulus. In cryptography, it underpins many core constructions because it defines arithmetic in finite sets (rings and fields) where values "wrap around," enabling stable, repeatable operations with bounded results.
Public-key systems like RSA rely on modular exponentiation (raising integers to powers modulo a composite number), while Diffie-Hellman and many elliptic-curve schemes operate in groups defined by modular arithmetic properties. Encryption and key exchange use modular operations because they allow efficient computation forward (e.g., exponentiation modulo a large number) while making certain inverse problems computationally hard without secret information (e.g., factoring or discrete logarithms). Modular reduction also helps keep intermediate values manageable and supports group properties needed for proofs of security.
Although modular arithmetic is not "encryption by itself," it is a foundational method used inside encryption algorithms and protocols. Therefore, among the options, describing it as a method used for encryption via modular operations best matches cryptographic usage.
質問 # 22
(What describes how Counter (CTR) mode encryption functions?)
正解：D
解説：
CTR mode turns a block cipher (like AES) into a stream-like construction by generating a keystream from successive encryptions of a changing input block. Specifically, CTR forms input blocks using a nonce (unique per message) combined with an increasing counter. Each nonce||counter block is encrypted with the block cipher under the shared key, producing a pseudorandom output block. That output is then XORed with plaintext to yield ciphertext (and XORed with ciphertext to recover plaintext). This design enables parallelization (blocks can be generated independently), efficient random access decryption, and avoids chaining dependencies seen in modes like CBC. Option B describes CFB-like behavior; option C describes ECB; option D describes CBC. CTR's security critically depends on never reusing the same nonce/counter sequence with the same key, because reuse would repeat keystream blocks and expose plaintext relationships. Therefore, the correct description is that CTR converts the block cipher into a stream cipher using a counter value and a nonce.
質問 # 23
(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 # 24
(Which number generator has different results given the same input data?)
正解：D
解説：
A true random number generator (TRNG) produces outputs derived from nondeterministic physical processes (e.g., thermal noise, oscillator jitter, radioactive decay, or other hardware entropy sources). Because the underlying phenomenon is not algorithmically determined by an input seed in the same way as a PRNG, repeated "inputs" (or identical conditions from a software perspective) do not yield the same sequence; the outputs vary unpredictably. By contrast, a pseudorandom number generator (PRNG) is deterministic: given the same seed and internal state, it produces the same output sequence, which is useful for repeatability but means security depends on seed secrecy and proper seeding. "Prime" is not a generator type, and "sequence" is too generic and does not imply nondeterminism. In cryptographic systems, TRNGs (or hardware entropy sources) are often used to seed cryptographically secure PRNGs (CSPRNGs), combining high-quality entropy with efficient generation. Therefore, the generator that can produce different results for the "same input data" is a true random number generator.
質問 # 25
(What is the length of the Initialization Vector (IV) in WEP?)
正解：B
解説：
WEP (Wired Equivalent Privacy) uses the RC4 stream cipher and combines a per-packet Initialization Vector (IV) with a shared secret key to form the RC4 seed for that packet's keystream. The IV in WEP is 24 bits long and is transmitted in the clear as part of the 802.11 frame so the receiver can reconstruct the same per-packet RC4 key stream. The short IV space (2²# possible values) is a major design weakness: on a busy network, IVs repeat frequently, causing keystream reuse. Because RC4 is a stream cipher, keystream reuse enables attackers to derive relationships between plaintexts and recover keys with statistical attacks (notably the Fluhrer, Mantin, and Shamir (FMS) family of attacks and related improvements). WEP also uses a CRC-32 integrity check (ICV) that is not cryptographically strong and is vulnerable to modification attacks. The 24-bit IV length is therefore a key reason WEP is considered insecure and has been replaced by WPA/WPA2 mechanisms that use stronger key mixing, larger nonces/IVs, and robust integrity protection.
質問 # 26
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