SSCP · Question #682
SSCP Question #682: Real Exam Question with Answer & Explanation
The correct answer is A: computing in Galois fields. RSA encryption relies heavily on modular arithmetic. The mathematical framework that makes RSA computationally feasible is 'computing in Galois fields' (also known as finite fields). A Galois field GF(p) is a finite set of integers where arithmetic operations are performed modulo
Question
The computations involved in selecting keys and in enciphering data are complex, and are not practical for manual use. However, using mathematical properties of modular arithmetic and a method known as "_________________," RSA is quite feasible for computer use.
Options
- Acomputing in Galois fields
- Bcomputing in Gladden fields
- Ccomputing in Gallipoli fields
- Dcomputing in Galbraith fields
Explanation
RSA encryption relies heavily on modular arithmetic. The mathematical framework that makes RSA computationally feasible is 'computing in Galois fields' (also known as finite fields). A Galois field GF(p) is a finite set of integers where arithmetic operations are performed modulo a prime number p. These algebraic structures enable efficient modular exponentiation - the core operation in RSA - making what would otherwise be intractably complex computations manageable for computers. The other options (Gladden, Gallipoli, Galbraith fields) are fabricated terms with no relevance to cryptography.
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