- Algebraic Curves over Finite Fields, Number Fields and Their Applications
- Applications of Algebraic Geometry to Cryptography
- Erasure Coding and Data Reconstruction for Large Scale Storage
- Quantum Error-Correcting Codes
- Theory and Practice of Coding and Cryptography
| Selected Publications | - V. Guruswami & C. Xing. (2013). List decoding Reed-Solomon, Algebraic-Geometric, and Gabidulin subcodes up to the Singleton bound. STOC 2013.
- I. Cascudo, R. Cramer, C. Xing & A. Yang. (2013). Asymptotic Bound for Multiplication Complexity in the Extensions of Small Finite Fields. IEEE Transactions on Information Theory, 58, 4930-4935.
- A. Basse, L. Ma, Chaoping Xing and S. Z. Yeo. (2013). Towards a characterization of subfields of the Deligne-Lusztig function fields. Journal of Combinatorial Theory Series A, .
- L. Jin & C. Xing. (2012). Euclidean and Hermitian Self-Orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes. IEEE Transactions on Information Theory, 58, 5484-5489.
- L. F. Jin, C. P., Xing. (2012). A construction of quantum codes via a class of classical polynomial codes,. ISIT2012.
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