Archive for Course Projects

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Here is the archive for course projects I have done.

Fundamentals of Cryptography: Research into Singular Elliptic Curve Groups

About singular curves and how the use of them may influence the elliptic curve cryptography.

Game Theory: A Literature Review of Fair Sharing and Envy-freeness

About fair sharing and envy-freeness, especially surveying about the recent results on EF1 and EFX for discrete problems.

Design and Analysis of Algorithms: Bottleneck Path Algorithms

About different bottleneck path algorithms: s-t BP in $O(m\beta(m,n))$ and SSBP in $O(m\sqrt{logn})$.

Advanced Topics in Cryptography: On Approximating the Covering Radius and Finding Dense Lattice Subspaces

Joint project with Shucheng Chi and Tianle Xie, surveying about the paper.