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What is the use of Chinese Remainder Theorem to generate random numbers for information security?
Random numbers are the numbers which play an essential role for various network security applications. There are some approaches that are used to generating random numbers including pseudorandom number generator and linear congruent generator also cryptographically generated random numbers etc.
The main objective of the Chinese Reminder Theorem is to generating Random numbers. In essence, CRT says it is applicable to reconstruct integers in a certain range from their residues modulo a set of pair wise relatively prime modulo.
CRT is one of the main theorems of mathematics. This can be utilized in the area of cryptography. It is a perfect set of beauty and utility, CRT always to present itself in new element and open view for new types of applications.
CRT can also be used to solve quadratic congruence. CRT is used to define a very high integer in terms of a record of small integers. CRT is an algorithm with several applications in mathematics, computing is the main area of its application and moreover, currently it is being used in cryptography also. But in the field of cryptosystem, the algorithm can be used for functionality for modular computation.
Random number generators have application in gambling, numerical sampling, computer simulation, cryptography, and multiple areas where a random number is beneficial in creating an unpredictable result. The random numbers is beneficial for the avoidance of reply attack also for counter measures.
In the area of cryptography and network security random numbers can be used as the Nonce and it can be connected with the message packets on the sender end as the recognition of each and every packet.
In the above technique the CRT generate unique random numbers for every key value which can be attached with the message as follows.
Chiness reminder theorem provide benefits in computing, mathematics and also in the field of cryptography, where the algorithm provides relief in case of modular computation and also in case of making the random numbers.
In CRT, it is a complex study of this theorem to develop a new terms of producing random numbers. As it can understand that random numbers has a broad application in cryptography to create security of the network connection more and powerful so that the intruder can hot hamper the information security.
There are these random to display how these random numbers can be used in secure message transmission avoiding packet reply which is an attack in which an intruder captures a message packet and reply it again to gain access to data or system application.
In CRT, it used random numbers which are unique for a session of message transmission. At the receiver side these random numbers are determined and if the number has been received earlier also it define that the packet is replayed and rejected.
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