Password Diophantine Equation

Diophantine equations as one important branch of number theory, it origins the father of algebra-diophantine which is the ancient Greek mathematician, it is rich in contents, and with algebraic number theory and direction are closely linked. With the improvement of science and technology, the number theory originally as a basic subject theoretical strong realize their value in the practice application, especially in1977after the birth of RSA public key pass-word system which is research and development by Rivest, Shamir and Adleman, number theory was widely used to a new field-number theory password. This article through the decomposition factor method discuss the solution of diophantine equation as x3+8=Dy2. The Hill the principle of password system is quoted to expand the diophantine equation in the password system application. Puts forward a diophantine equation about the password system.This paper is divided into four parts, the arrangement is as follows:Chapter1:to summarize the diophantine equation development and background and the difficulty of solving.Chapter2:introduction of the whole text of the preparation of knowledge.Chapter3:introduce solving diophantine equation method and modern cryptography.Chapter4:through the theory research of password put forward a new diophantine password.