Modified DES using Different Keystreams Based On Primitive Pythagorean Triples

Abstract

Symmetric-key encryption is a traditional form of cryptography, in which a single key is used to encrypt and decrypt a message. In symmetric-key algorithm before any encrypted message is being transmitted, the sender and receiver must know the key value in advance. There are several drawbacks in symmetric-key algorithms. In some algorithms, the size of the key should be same as the size of the original plaintext and maintaining and remembering such a key is very difficult. Further, in symmetric-key algorithms, several round has to be performed to produce the ciphertext and perhaps the same key is used in each round which results in subkey generated from the current round is fully depending on the previous round. To avoid these, a novel approach in generating the key from the keystream for any symmetric-key algorithms using the Primitive Pythagorean Triples(PPT) has been proposed in this paper. The main advantage of this method is that the key value generated from the keystream is chosen by both the sender and the receiver. Further, the size of the key sequence is not limited but its size is arbitrary in length. Since, the keystream generated is random, no need to remember such keys by both the sender and the receiver.

Cloud security: literature survey

“…Here the data searching time is minimized because of which the users can pay less money for using the cloud services [27] Primitive Pythagorean triplets, data encryption standards, hamming distance…”

“…The data owners are also asked to register before sending any file to the cloud service provider. Mani and Devi [27] tried to enhance the data security by generating different key streams using Pythagorean triplets. Any two positive prime integers are used to find the triplets such that the gcd of the triplets is always 1.…”

Pythagorean Triples with Common Sides

“…Pythagorean triples form different patterns that can be classified and applied in various fields such as cryptography; see [13][14][15][16][17][18][19][20]. For instance, there exist Pythagorean triples ( , , ) that have identical legs; e.g., (20,21,29) and (20,99,101) are two primitive triples with = 20, while (20,15,25) and (20,48,52) are nonprimitive triples with the same leg.…”