Research Interests

My research is in the areas of algebraic coding theory, groups, loops, transversals, rings, finite fields, Galois fields, and a bit of information complexity. I am currently working on the construction of efficient error correcting codes. In particular, the images of loop transversal codes under the Gray map, efficient algorithms to produce the linear loop transversal codes over Z₄ and over Z_q for arbitrary q, and enhancing the error detecting capabilities of the loop transversal codes are of highest interest to me.

Publications:

• With J.D.H. Smith, Loop transversal codes for error detection, Journal of Combinatorial Mathematics and Combinatorial Computing, 58 (2006), pp. 153-159.
• Loop transversal codes over finite rings, Ph.D. Thesis, Iowa State University, December 2004

Department of Mathematics | CMU | ISU | American Mathematical Society (AMS) | MathSciNet | ISU Algebra Seminar