Projects per year
Personal profile
Research interests
Research Expertise:
Experimental Mathematics | Coding Theory | Frames
My research interests lie broadly in experimental mathematics with a current focus on coding theory and frames.
My work on coding theory consists of two projects. The first is to construct good error-correcting codes capable of correcting insertion, deletion, and substitution errors and apply them to the design of barcodes for DNA multiplex sequencing and data storage. The second is the develop codes for two-party interactive communication that are resistant to the same types of errors.
My work on frames seeks to construct efficient algorithms to partition frames with low coherence, called tight equiangular frames (ETFs), into sets with uniform small spectral norms, and to develop applications in communications and signal processing that utilize such partitions. Current work focuses on two special types of frames: Steiner and maximal ETFs.
Member of:
Mathematical Association of America (www.maa.org)
Education/Academic qualification
Doctor of Philosophy, doctorate
Bachelor of Science, Bachelor
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Projects
- 1 Finished
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Bridging Undergraduate Student Research in Mathematics Between Four-Year and Two-Year Institutions
Center for Undergraduate Research in Mathematics
5/15/19 → 8/31/21
Project: Other project
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An Error-Correcting Output Code Framework for Lifelong Learning without a Teacher
Ho, S. S., Marchiano, M., Zockoll, S. & Nguyen, H., Nov 2020, Proceedings - IEEE 32nd International Conference on Tools with Artificial Intelligence, ICTAI 2020. Alamaniotis, M. & Pan, S. (eds.). IEEE Computer Society, p. 249-254 6 p. 9288216. (Proceedings - International Conference on Tools with Artificial Intelligence, ICTAI; vol. 2020-November).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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Partitions of equiangular tight frames
Rosado, J., Nguyen, H. D. & Cao, L., Aug 1 2017, In: Linear Algebra and Its Applications. 526, p. 95-120 26 p.Research output: Contribution to journal › Article › peer-review
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Doppler tolerance, complementary code sets, and generalised Thue-Morse sequences
Nguyen, H. D. & Coxson, G. E., 2016, In: IET Radar, Sonar and Navigation. 10, 9, p. 1603-1610 8 p.Research output: Contribution to journal › Article › peer-review
9 Scopus citations -
Group symmetries of complementary code matrices
Logan, B. & Nguyen, H. D., Oct 2016, In: IEEE Transactions on Aerospace and Electronic Systems. 52, 5, p. 2255-2262 8 p., 7812875.Research output: Contribution to journal › Article › peer-review
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New Multiple Insertion/Deletion Correcting Codes for Non-Binary Alphabets
Le, T. A. & Nguyen, H. D., May 2016, In: IEEE Transactions on Information Theory. 62, 5, p. 2682-2693 12 p., 7430315.Research output: Contribution to journal › Article › peer-review
10 Scopus citations