Workshop on Applications of Algebraic Geometry in Secret Sharing and Coding Theory

Mathematics for Communication, Aalborg University

On June 30th 2014 a workshop was held at Department of Mathematical Sciences, Aalborg University on the above mentioned topic. The workshop was financed by the Danish-Chinese Center for Applications of Algebraic Geometry in Coding Theory and Cryptography under the Danish National Research Foundation. It also marks the start of the research project "How secret is a secret?" under the Danish Council for Independent Research - Natural Sciences.

The program of the conference was based on a series of talks that gave rise to fruitful research discussions:

10:00-10:30 Ignacio Cascudo: "Squares of codes and applications to cryptography" [Slides]
10:40-11:10 Ivan Damgård: "How to verify multiplicative relations in zero-knowledge at small amortised cost"
11:20-11:50 Irene Giacomelli: "Verifiable Secret-Sharing Schemes" [Slides]
12:00-12:45 Lunch
12:55-13:25 Johan P. Hansen: "Secret sharing schemes with a large number of players from toric varieties"
13:35-13:55 Olav Geil: "Ramp secret sharing schemes from one-point AG codes" [Slides]
14:05-14:35 Stefano Martin: "Relative Generalized Hamming Weight of q-ary Reed Muller codes" [Slides]
14:50-15:20 Fernando Piñero: "The structure of dual Grassmann codes" [Slides]
15:30-16:00 Peter Beelen: "Applications of twisted polynomials"