Research

My research is in the area of subspace codes. So far, I am investigating three main problems. First, I am attempting to find more constructions of cyclic orbit codes. Second, I am working on describing the structure of distance distributions of subspace codes. Finally, I am working on extending some recent work concerning Sidon spaces by Roth, Raviv, and Tamo.

Before coming to the University of Kentucky, I worked on prime labelings of graphs and coprime mappings at Seattle University with Dr. Klee, Dr. Robertson, Andrew Park, and Bayley Larsen.

Preprints

1. 1. Automorphism Groups and Isometries for Cyclic Orbit Codes ,
   with H. Gluesing-Luerssen, submitted.

Publications

1. 4. Distance Distributions of Cyclic Orbit Codes ,
   with H. Gluesing-Luerssen, Designs, Codes, and Cryptography, 2021.
2. 
   
3. 3. Coprime mappings on n-sets,
   with B. Larsen, A. Park, L. Robertson, Integers, 2017.
   
4. 
   
5. 2. Prime labeling of families of trees with the Gaussian integers,
   with S. Klee and A. Park, AKCE Int. Journal of Graphs and Combinatorics, 2016.
   
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7. 1. Prime labeling of small trees with the Gaussian integers,
   with A. Park, Rose-Hulman Undergraduate Math. Journal, 2016.