Hieu Nguyen

  • 73 Citations
  • 4 h-Index
19972019

Research output per year

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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

Research Output

  • 73 Citations
  • 4 h-Index
  • 15 Article
  • 1 Chapter
  • 1 Conference contribution

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 journalArticle

  • Doppler tolerance, complementary code sets, and generalised Thue-Morse sequences

    Nguyen, H. D. & Coxson, G. E., Jan 1 2016, In : IET Radar, Sonar and Navigation. 10, 9, p. 1603-1610 8 p.

    Research output: Contribution to journalArticle

  • 5 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 journalArticle

  • 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 journalArticle

  • 4 Scopus citations

    A generalization of the digital binomial theorem

    Nguyen, H., Jan 1 2015, In : Journal of Integer Sequences. 18, 5

    Research output: Contribution to journalArticle

  • 4 Scopus citations