My research interests are in coding theory, computer algebra and discrete
mathematics.

**Publications**

Jeff Farr and Petr
Lisonek, "Large caps with free pairs in dimensions five and six,"
*Innovations in Incidence Geometry* (2006).

Jeff Farr and Petr
Lisonek, "Caps with free pairs of points,"
*J. Geom.* **85** (2006), 35-41.

Jeff Farr and Shuhong
Gao, "Gröbner bases and generalized Padé approximation,"
*Math. Comp.* **75** (2005), 461-473.
[pdf]

Jeff Farr and Shuhong Gao, "Computing Gröbner bases for vanishing ideals of finite sets of points," , 118-127. [ps]

Jeff Farr, *Computing Gröbner bases, with applications to Padé approximation and algebraic coding theory*, Ph.D. Thesis, Clemson University, 2003.

Jeff Farr, Stephen
Hedetniemi , Renu
Laskar , et al., "Gallai Theorems Involving Domination Parameters,"
*Congressus Numerantium*, **157** (2002), 149-157. [pdf]

Neil
Calkin and Jeff Farr, "Slow Convergence of a Double-Biased Sequence,"
*Congressus
Numerantium*, **159** (2002), 159-165. [pdf]

**Current Projects**

Jeff Farr, Shuhong
Gao and Dan Noneaker,
"Construction and Decoding of a Large Class of Random Linear Codes," *in progress*.

Jeff Farr and Shuhong Gao,
"A Comparison of Staggered Interleaving With Designed Interleaving," *in progress*.

Jeff Farr and Petr Lisonek,
"Product constructions for caps with free pairs," *in progress*.
[abstract]

Jeff Farr , "Caps with many free pairs," *in progress*.