Finite and Algebraic Geometry for Error correction (FACE)
Finite and Algebraic Geometry for Error correction
Start date: Jul 1, 2014,
End date: Jun 30, 2016
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 error-correcting codes with good parameters, i.e. correcting a large number of errors with respect to their length.
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