Introduction to Cryptography Exam Preparation Material | WGU Introduction to Cryptography HNO1

Explanation:
A polyalphabetic substitution cipher uses multiple substitution alphabets rather than a single fixed mapping. The classic cipher that uses a keyword to select shifting alphabets across the message is the Vigenère cipher. In Vigenère, each plaintext letter is shifted by an amount determined by the corresponding key letter (repeating the keyword as needed).
For example, a keyword like “YELLOW” is aligned under the plaintext; each key character defines a Caesar shift (A=0, B=1, …) applied to the plaintext character, producing ciphertext. This rotation of alphabets across positions makes Vigenère more resistant to simple frequency analysis than monoalphabetic substitution, because the same plaintext letter may encrypt to different ciphertext letters depending on its position relative to the key. The Pigpen cipher is a symbol substitution cipher, Caesar is monoalphabetic with a single shift, and Playfair is a digraph substitution cipher using a 5×5 key square, not the repeating-key polyalphabetic method described. Therefore, the correct cipher is Vigenère.

Explanation:
Asymmetric cryptography uses a public/private key pair where different keys are used for related operations (encryption/decryption or signature/verification). Elliptic-Curve Cryptography (ECC) is a family of asymmetric algorithms built on the mathematics of elliptic curves over finite fields. ECC supports key exchange (ECDH), digital signatures (ECDSA/EdDSA), and other primitives with smaller key sizes for comparable security to traditional discrete-log or RSA systems (e.g., a 256-bit ECC key is often comparable in security to a 3072-bit RSA key, depending on scheme and parameters). By contrast, SHA-256 is a cryptographic hash function (one-way digest), and HMAC is a keyed integrity/authentication construction built from a hash function―neither is encryption. DES is a symmetric block cipher (same key for encryption and decryption). Therefore, the example of asymmetric encryption among the options is ECC.

Explanation:
DER (Distinguished Encoding Rules) is a binary encoding format used to represent ASN.1 structures in a canonical, unambiguous way. X.509 certificates are defined using ASN.1, and DER provides a strict subset of BER (Basic Encoding Rules) that guarantees a single, unique encoding for any given data structure. That “unique encoding” property is important for cryptographic operations such as hashing and digital signatures, because different encodings of the same abstract data could otherwise produce different hashes and break signature verification. In contrast, PEM is not a binary encoding; it is essentially a Base64-encoded text wrapper around DER data, bounded by header/footer lines (e.g., “BEGIN CERTIFICATE”). PKI is an overall framework for certificate issuance, trust, and lifecycle management―not an encoding. RSA is an asymmetric algorithm used for encryption/signing, not a certificate encoding format. Therefore, the binary-based certificate encoding process among the options is DER.

Explanation:
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 DiffieCHellman 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.

Explanation:
AES supports three standardized key sizes: 128, 192, and 256 bits, with a fixed block size of 128 bits. The maximum of these supported key sizes is 256 bits (AES-256). Key size affects resistance to brute-force key search: larger keys exponentially increase the search space. In practice, AES-128 is already considered strong against brute force with contemporary computing capabilities, while AES-256 is often chosen for compliance requirements, conservative security margins, or to hedge against future advances. AES-512 is not part of the AES standard; if 512-bit keys are desired, systems typically use different constructions (like using AES-256 in certain key-derivation or wrapping schemes) rather than changing AES itself. Therefore, the correct maximum supported AES key size is 256 bits.