%0 Journal Article %A Rand Alfaris and Mohamed Rushdan MD Said and Mohamed Othman and Fudziah Ismail %D 2008 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 23, 2008 %T Modified Diffie-Hellman Protocol By Extend The Theory of The Congruence %U https://publications.waset.org/pdf/4774 %V 23 %X This paper is introduced a modification to Diffie- Hellman protocol to be applicable on the decimal numbers, which they are the numbers between zero and one. For this purpose we extend the theory of the congruence. The new congruence is over the set of the real numbers and it is called the “real congruence" or the “real modulus". We will refer to the existing congruence by the “integer congruence" or the “integer modulus". This extension will define new terms and redefine the existing terms. As the properties and the theorems of the integer modulus are extended as well. Modified Diffie-Hellman key exchange protocol is produced a sharing, secure and decimal secret key for the the cryptosystems that depend on decimal numbers. %P 842 - 848