FACE Finite and Algebraic Geometry for Error correction EC FP7-PEOPLE-2013-IEF GA 626511 Prof. Leo Storme

The primary objective of the FACE project is to study and develop the connections

between Coding Theory and non-linear geometric objects in Galois spaces, by using both

theoretical and computational instruments. The FACE project will focus on particular

types of non-linear geometric objects: arcs, (n,r)-arcs, caps, saturating sets, and

algebraic varieties. These objects correspond to specific types of linear error-correcting

codes. These codes are deeply involved in the process of transmission of information,

since they preserve the information against errors occurring during the transmission

process on a communication channel; without this protection the information received

could be unusable. The main aim of the FACE project is to construct and to classify new

examples and new infinite families of the geometrical counterparts of linear errorcorrecting

codes with good parameters, i.e. correcting a large number of errors with

respect to their length.