## WG 3: Cryptographic Aspects of Network Codes

**Chair:** Simon Blackburn

### Work programme

The security of network coding is a vitally important issue. It is closely interrelated, but is separate from, the issues surrounding efficient and reliable network coding. In fact, the design of a secure network coding scheme is a challenge of new nature, with the presence of the intermediate nodes leading to wiretap attacks or pollution attacks that are not considered in most standard cryptographic security models. During recent years, solutions have been proposed based on homomorphic hashing and homomorphic signatures. The work on this aspect of the project spans theoretical computer science and mathematics, with techniques from areas such as public key cryptography, protocol design, and secret sharing being relevant.

### Member list

Current participants list of Working Group 3 with research interests

Marco Baldi |
Department of Information Engineering Marche Polytechnic University, Italy |

Error-correcting codes, LDPC and LDGM codes, code-based cryptography | |

Simon Blackburn |
Mathematics Department Royal Holloway, University of London, UK |

Combinatorics, Coding Theory, Cryptography | |

Eimear Byrne |
School of Mathematics and Statistics University College Dublin, Ireland |

Codes over Rings, Decoding Algorithms, Network Coding, Codes and Combinatorial Structures | |

Arsenia Chorti |
School of Computer Science and Electronic Engineering University of Essex, UK |

network coding, physical layer security, security | |

Jessica Claridge |
Information Security Group Royal Holloway, University of London, UK |

Network Coding, Coding Theory, Combinatorics | |

Joan-Josep Climent |
Department of Statistics and Operations Research University of Alicante, Spain |

Linear Algebra, Coding Theory, Cryptography | |

Tuvi Etzion |
Computer Science Department Technion, Israel |

Coding Theory, Digital Sequences, Block Design | |

Luis Javier Garcia Villalba |
Faculty of Computer Science and Engineering Complutense University of Madrid, Spain |

Analysis, Security and Systems | |

Olav Geil |
Department of Mathematical Sciences Aalborg University, Denmark |

Algebraic Coding Theory, Network Coding and Polynomials over Finite Fields | |

Farhad Ghaboussi |
Department of Physics University of Konstanz, Germany |

Number theory, Coding theory, Cryptography | |

Luca Giuzzi |
DICATAM - Section of Mathematics University of Brescia, Italy |

Coding theory; Cryptography; Finite Geometry | |

Oliver Gnilke |
Department of Mathematics and Systems Analysis Aalto University, Finland |

Cryptography, Homomorphic Hash Functions | |

Elisa Gorla |
Institute of Mathematics University of Neuchâtel, Switzerland |

Network Coding, Cryptography, GrÃ¶bner Bases, Algebraic Combinatorics | |

Marcus Greferath |
Department of Mathematics and Systems Analysis Aalto University, Finland |

Algebraic Coding Theory, q-ary Designs; Fourier inversion, MÃ¶bius inversion, Exponential sums | |

Tor Helleseth |
Department of Informatics University of Bergen, Norway |

Coding, Cryptography, Discrete Mathematics | |

Camilla Hollanti |
Department of Mathematics and Systems Analysis Aalto University, Finland |

Distributed storage and network coding, algebraic code constructions, physical layer security, secrecy capacity of storage systems. Mathematical interests in algebraic number theory. | |

Stefano Martin |
Department of Mathematical Sciences (–16) Aalborg University, Denmark |

Coding Theory, Cryptography | |

Ferruh Özbudak |
Institute of Applied Mathematics Middle East Technical University, Turkey |

| |

Anna Rimoldi |
Department of Mathematics University of Trento, Italy |

Cryptography | |

Sondre Rønjom |
NSM Norway |

Coding Theory in Cryptography | |

Joachim Rosenthal |
Institute of Mathematics University of Zurich, Switzerland |

Network Codes, Schubert Calculus, Convolutional Codes | |

Diego Ruano |
Department of Mathematical Sciences Aalborg University, Denmark |

Practical Aspects of Network Coding, Cryptographic Aspects of Network Codes | |

Massimiliano Sala |
Department of Mathematics University of Trento, Italy |

Cryptography | |

Ana Lucila Sandoval Orozco |
Faculty of Computer Science and Engineering Complutense University of Madrid, Spain |

Mobile Ad Hoc Networks | |

Jens Zumbrägel |
Faculty of Computer Science and Mathematics University of Passau, Germany |

Codes over Rings, Lattice Theory, Cryptography, LDPC Codes |