Design pairs

Thursday, December 6, 2012 - 12:00 to 12:50
Speaker Information
University of Pittsburgh

Abstract or Additional Information

The general theme is that of constructing symmetric designs. It is often possible to accomplish this by working with two combinatorial structures, neither of which is a 2-design, but which act jointly to allow the construction of a 2-design. Such design pairs offer an expression of certain integers that are equal to 3 mod 4 as a sum of two square moduli of cyclotomic integers. It is on occasion also possible to use the Seidel-Goethals' method to construct Hadamard matrices, with such design pairs playing a central role.

Research Area