Improving Computation and Evaluation of Isogenies Over Supersingular Elliptic Curves

Cryptography allows to achieve the privacy of conversation between communicating parties by means of encryption. In the core of many cryptosystems lie mathematical problems that are difficult to solve. However, many of these problems, though intractable to attacks carried through electronic computers, are vulnerable to quantum computer attacks. ISARA is a security solutions company that offers quantum-resistant products. Improving their underlying algorithms is crucial to achieve the desired efficiency in performance. The goal of this project is to improve the cryptosystem based on isogenies of supersingular elliptic curves. The research will focus on the investigation of the techniques to improve the computation and evaluation of isogenies.

Faculty Supervisor:

Cameron L Stewart

Student:

Partner:

ISARA Corporation

Discipline:

Mathematics

Sector:

Professional, scientific and technical services

University:

University of Waterloo

Program: