Date: 05/04/2012 Time: 16:15 - 17:15 Location: J. Liivi 2, room 317 (next to the coffee room)
Title: Weakly hyperinvertible matrices over rings
Abstract:
In this work we will first show the equivalence of linear secret sharing schemes, maximal distance separable codes and maximal arcs in projective geometries in the case of finite fi elds and associated vector spaces. After that we will generalize the results over finite rings and associated modules. We will see that all of the above structures can be represented as a t X n matrix with the property that any t rows are linearly independent. We hope that this work might help us use results from coding theory and projective geometry for describing linear secret sharing schemes.