Douglas Leonard

Areas of Interest

AG codes, Gr\"obner bases, integral closures, algebraic combinatorics

Downloads to appear in April, 2007?

• Not yet ready to download, A tutorial on AG codes from a Gr\"obner basis perspective, Linz, 2006, preprint
• "A module view of integral closures", Linz, 2006, preprint, submitted to JSC special issue
• MAGMA implementation of the q-th power algorithm
• example 1 of the q-th power algorithm
• Not ready, example 2 of the q-th power algorithm (three variable with minimization)
• example 3 of the q-th power algorithm (three variables with larger basis)
• example 4 of the q-th power algorithm (two variables with minimization)
• example 5 of the q-th power algorithm (simple second tower example)
• "Using Gr\"obner bases to investigate flag algebras and association scheme fusion", Linz, 2006, preprint

Selected publications

• Orthogonal polynomials, duality and association schemes, SIAM Journal on Mathematical Analysis, 13(4) (1982), 656--663.
• Error-locator ideals for algebraic-geometric codes, IEEE Trans. Inform. Theory, 41(3) (1995), 819--824.
• Finding the missing functions for one-point AG codes, IEEE Trans. Inform. Theory 47(6) (2001) 2566--2573.
• Integral closures and weight functions over finite fields (with R. Pellikaan), Finite fields and their applications, 9(4) (2003), 479--504.
• A module view of integral closures, submitted, JSC, 2006

(334) 844-3643

leonada@auburn.edu