![]() Let us now assume we have two other integers, a and b. This P is a large prime number of over 300 digits. Assume we have a prime number, P (a number that is not divisible except by 1 and itself). The best way to describe this problem is first to show how its inverse concept works. Some of the most important equations used in cryptology include the following. These equations form the basis of cryptography. ![]() The level of difficulty of solving a given equation is known as its intractability. To do this, security systems and software use certain mathematical equations that are very difficult to solve unless strict criteria are met. In order for data to be secured for storage or transmission, it must be transformed in such a manner that it would be difficult for an unauthorized individual to be able to discover its true meaning. ![]() Cryptanalysis concepts are highly specialized and complex, so this discussion will concentrate on some of the key mathematical concepts behind cryptography, as well as modern examples of its use. Cryptology is the mathematics, such as number theory and the application of formulas and algorithms, that underpin cryptography and cryptanalysis.
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