The research team has an extensive experience in the field of algebraic coding theory. It was one of the pioneer groups in Spain to work in this field by applying algebraic and algebraic geometric techniques and has have stable funding from the Ministry of Science for researching in this topic through the projects leaded by A. Campillo, C. Galindo and F. Delgado which have lead to a major number of publications. Moreover, the group has also experience in cryptographic applications, specially in cryptography using coding theory as the McEliece cryptosystem, secret sharing and multi-party computation. Further details about the publications, grants and history of the research group can be found at the web page of the research group SINGACOM.

About what techniques we use, Algebraic and Algebraic Geometry trends. The team expertise is broad in applied and theoretical algebra (semigroups, algebraic geometry, singularities, Gröbner basis, free resolutions, ...) but we want to stress the following two trends that are new for this project: Commutative Algebra and Tropical Geometry.

Regarding the concrete research lines in this project, they are the following:

Local Recovery Codes , Private Information Retrieval, Distributed matrix multiplication, Coded based posquantum cryptography and Quantum codes