Research Project Title:
Shortest Vector Problem
abstract:The Shortest Vector Problem on integer lattices has been widely studied during the last few decades. There are many cryptographic constructions whose security assumes the worst-case hardness of the approximation version of this and related problems. This project focuses on improving the known results of this problem: our goal will be to either discover a new algorithm that improves the best known space and/or time complexity, or demonstrate an improved hardness result.
“In this project, I would like to learn more about the problem itself and gain research experience. I am double majoring in mathematics and computer science, so I think this project allows me to apply knowledge from both disciplines. I believe that the material covered by 6.875 and 18.425 (Cryptography and Cryptanalysis) will be relevant to this project as well.”