# Prime factorization and Cryptography.

First off we start by acknowledging what cryptography is, and it is the art of writing or solving codes, and protecting information. Transforming that importation is called encryption, and deciphering that information by using a secret key is called decryption. Cryptography is used to protect e-mail messages, credit card information, and corporate data, and due to our society today being so highly developed in technology and electronic security and information privacy has become very important.

Key words:

Cryptography systems

Symmetric-key systems use a single key which the sender and recipient have.

Public-key system use two keys, a public key that is known to everyone and a private key that only the recipient uses.

Encryption is the translation of data into a secret code. it is the most effective way to achieve data security. In order to read an encrypted file, you have to have access to a secret password that enables you to decrypt the information.

Plain text is the name for un-encrypted data, and an encrypted data is called cipher text.

Symmetric-key cryptography ( also known as secret-key cryptography) is a single common key shared by the sender and receiver of a message. It is used to encrypt and decrypt a message. It is easier and faster, however the parties involved must some-how exchange the key in a secure way. Most popular symmetric-key system is the Data Encryption Standard also known as DES which was developed in 1975 and standardized by ANSI in 1981.

Encryption algorithm is a mathematical procedure for performing encryption data. Information is made into meaningless cipher text through the use of algorithm and it requires a key to transform the data back to its original form.

Algorithm is a set of steps for solving a particular problem, with a set of rules and a stopping point.

LUHN formula is used widely to generate check digits of many different primary account numbers. also used to check Canadian social insurance number. It was created in the late 1960s by a group of mathematicians, and then later adopted by credit card companies.

A hybrid encryption is a method that combines two or more encryption schemes and includes a combination of symmetric and asymmetric encryption to take advantage of the strengths of each type of encryption.