trapdoor function การใช้

• HFE is also known as HFE trapdoor function.
• ,the best known trapdoor function ( family ) candidates are the Rabin families of functions.
• Trapdoor functions came to prominence in cryptography in the mid-1970s with the publication of Merkle.
• Description : This paper creates a theoretical framework for trapdoor functions and described some of their applications, like in cryptography.
• Several function classes have been proposed, and it soon became obvious that trapdoor functions are harder to find than was initially thought.
• Hash-based cryptography is concerned with the development of digital signature schemes that do not rely on the existence of secure trapdoor functions.
• This function can replace the trapdoor function used in the Cramer-Shoup signature scheme, maintaining its provable security while speeding up verification time by about 50 %.
• Note that the concept of trapdoor functions was brought at " New directions in cryptography " six years earlier ( See section V " Problem Interrelationships and Trap Doors . " ).
• You can think of MD5 as being loosely related to ciphers like DES, because both use trapdoor functions which are easy to compute in one direction, and intractable in the other direction.
• This example is not a sturdy trapdoor function  modern computers can guess all of the possible answers within a second  but this sample problem could be improved by using the product of two much larger primes.
• Functions related to the hardness of the discrete logarithm problem ( either modulo a prime or in a group defined over an elliptic curve ) are " not " known to be trapdoor functions, because there is no known " trapdoor " information about the group that enables the efficient computation of discrete logarithms.