Several public-key cryptography algorithms, such as RSA and the Diffie-Hellman key exchange, are based on large prime numbers (for example, 512-bit primes are frequently used for RSA and 1024-bit primes are typical for Diffie-Hellman.). RSA relies on the assumption that it is much easier (i.e., more efficient) to perform the multiplication of two (large) numbers x and y than to calculate x and y (assumed coprime) if only the product xy is known. The Diffie-Hellman key exchange relies on the fact that there are efficient algorithms for modular exponentiation, while the reverse operation the discrete logarithm is thought to be a hard problem.
On what type of exponentiation does the Diffie-Hellman key exchange depend on? How many bits are typically used in the primes for the Diffie-Hellman key exchange?
modular 1024
The Diffie-Hellman key exchange relies on the fact that there are efficient algorithms for modular exponentiation, while the reverse operation the discrete logarithm is thought to be a hard problem. Several public-key cryptography algorithms, such as RSA and the Diffie-Hellman key exchange, are based on large prime numbers (for example, 512-bit primes are frequently used for RSA and 1024-bit primes are typical for Diffie-Hellman.).
the Diffie-Hellman key exchange