A Public-key Cryptography Using Integral Quaternions
Lu Hong · Journal of Tongji University · 2003
The RSA public key oryptography is widely applied to internet security technology.Its core principal in mathmatics is to find a finite group with specific properties and conclude the methods of encryption and decryption according to the arithmetic rules between elements.At present,it is usually the congruences classes group of rational integer that is used in the internet security technology.In this paper,based on the analysis of quaternions,ring of integral quaternions and congruences classes group of integral quaternions,we draw the following conclusion:the congruences classes group of integral quaternions just has the speeific properties qualified for the RSA public key cryptography.