Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.

In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.

In this lecture the speaker will demonstrate sample algebraic and number theory applications in information security, in particular, in the design of cryptosystems.