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NEW QUESTION: 1
The RSA Algorithm uses which mathematical concept as the basis of its encryption?
A. PI (3.14159...)
B. 16-round ciphers
C. Geometry
D. Two large prime numbers
Answer: D
Explanation:
Explanation/Reference:
Explanation:
RSA is derived from the last names of its inventors, Rivest, Shamir, and Addleman.
This algorithm is based on the difficulty of factoring a number, N, which is the product of two large prime numbers. These numbers may be 200 digits each. Thus, the difficulty in obtaining the private key from the public key is a hard, one-way function that is equivalent to the difficulty of finding the prime factors of N.
In RSA, public and private keys are generated as follows:
Choose two large prime numbers, p and q, of equal length, compute p3q 5 n, which is the public

modulus.
Choose a random public key, e, so that e and (p - 1)(q - 1) are relatively prime.

Compute e x d = 1 mod (p - 1)(q - 1), where d is the private key.

Thus, d = e-1 mod [(p - 1)(q - 1)]

From these calculations, (d, n) is the private key and (e, n) is the public key.
Incorrect Answers:
A: The RSA Algorithm does not use Geometry as the basis of its encryption.
B: The RSA Algorithm does not use 16-round ciphers as the basis of its encryption.
C: The RSA Algorithm does not use PI as the basis of its encryption.
References:
Krutz, Ronald L. and Russel Dean Vines, The CISSP Prep Guide: Mastering the Ten Domains of Computer Security, John Wiley & Sons, New York, 2001, p. 148

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