CYCLIC SUB-GROUPS OF SYMMETRIC GROUPS AND CRYPTOGRAPHY

The purpose of this paper is to present some encryption methods that have the following characteristics: to be symmetric ciphers,to be based on mathematical results that are part of algebra of cyclic sub-groups of symmetric groups, to be encryption processes using disposable keys : the secret encryption key is changed for each encryption , and the public information which make the recipient able to decrypt with the new key is sent with the cryptogram.These symmetric cryptographic methods will be defined purely mathematically . No example will be given of a computer program to implement the computational functions defined mathematically, nor of a study to determine which types of programming language would be most appropriate for these implementations . There will also be no research into which areas or situations these cryptographic methods could be used.