Research Output 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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## Research Output 1997 2017

## Partitions of equiangular tight frames

Rosado, J., Nguyen, H. & Cao, L., Aug 1 2017, In : Linear Algebra and Its Applications. 526, p. 95-120 26 p.Research output: Contribution to journal › Article

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

Nguyen, H. & Coxson, G. E., Jan 1 2016, In : IET Radar, Sonar and Navigation. 10, 9, p. 1603-1610 8 p.Research output: Contribution to journal › Article

## Group symmetries of complementary code matrices

Logan, B. & Nguyen, H., Oct 1 2016, In : IEEE Transactions on Aerospace and Electronic Systems. 52, 5, p. 2255-2262 8 p., 7812875.Research output: Contribution to journal › Article

## New Multiple Insertion/Deletion Correcting Codes for Non-Binary Alphabets

Le, T. A. & Nguyen, H., May 1 2016, In : IEEE Transactions on Information Theory. 62, 5, p. 2682-2693 12 p., 7430315.Research output: Contribution to journal › Article

## A generalization of the digital binomial theorem

Nguyen, H., Jan 1 2015, In : Journal of Integer Sequences. 18, 5Research output: Contribution to journal › Article