Cryptosystem with Rédei Rational Functions via Pellconics

P. AnuradhaKameswari, R. Chaya Kumari
2012 International Journal of Computer Applications  
In this paper, two cryptosystems are constructed using the fact that Rédei rational functions are permutation polynomials and exploiting the multiplicative properties of Rédei rational functions and the inverse property of Dickson polynomial extended to Rédei rational functions. The encryptions are based on evaluating Rédei rational functions ( , ) kn Q d z ¢ with the values n z ¢ connected to the solutions of the Pell's equation 22 1 x dy  in n ¢ . The connection between these evaluations
more » ... nd the convergents of solutions of Pell's equation are used in the construction of the second cryptosystem.
doi:10.5120/8639-2054 fatcat:c4bgqpphzzcnhhmu4entd52ety