WG 4: Construction of Network Codes and Grassmannian Codes

Work programme · Member list

Chairs: Tuvi Etzion, Joachim Rosenthal

Work programme

Traditional coding theory is aware of two different construction issues, one of them a purely practical, where the other being more theoretical and particularly touching asymptotic aspects of coding. The former type of construction is interested in codes of small size and small length that come with efficient encoders and decoders and are ready for implementation in communication devices. The latter focuses on the existence of infinite families of codes for which information rate and error-correction capabilities are clearly bounded away from zero. Particularly in search of good network codes of relatively small size in small projective geometries intelligent searches based on assumptions on the inner symmetry of the code can significantly help the construction process. This task is of highly mathematical nature and requires strong computational power for the resulting searches. Judging the quality of its outcomes will require results from Working Group 1.

Survey with open problems

Member list

Current participants list of Working Group 4 with research interests

Paulo Almeida
Department of Mathematics
University of Aveiro, Portugal
Convolutional codes, finite fields, superregular matrices, subspace codes
Christine Bachoc
Bordeaux Institute of Mathematics
University of Bordeaux, France
Bounds and Constructions of Network Codes
Daniele Bartoli
Department of Mathematics
Ghent University, Belgium
Coding Theory, Algebraic Codes, Functional Codes
Simon Blackburn
Mathematics Department
Royal Holloway, University of London, UK
Combinatorics, Coding Theory, Cryptography
Sarit Buzaglo
Computer Science Department
Technion, Israel
Algebraic Coding Theory, Error-Correcting Codes for Non-Volatile Memories, Discrete Geometry and Combinatorics
Eimear Byrne
School of Mathematical Sciences
University College Dublin, Ireland
Codes over Rings, Decoding Algorithms, Network Coding, Codes and Combinatorial Structures
Ilaria Cardinali
Department of Information Engineering and Mathematics
University of Siena, Italy
Polar Grassmannians, Grassmann Codes, Projective Linear Codes
Joan-Josep Climent
Department of Statistics and Operations Research
University of Alicante, Spain
Linear Algebra, Coding Theory, Cryptography
Sara Díaz Cardell
Department of Statistics and Operations Research
University of Alicante, Spain
Coding Theory, Cryptology, Computational Security, Network Coding
Andreas-Stephan Elsenhans
Institute for Mathematics
University of Bayreuth, Germany
Toni Ernvall
Department of Mathematics and Statistics
University of Turku, Finland
Network Codes, Distributed Storage
Tuvi Etzion
Computer Science Department
Technion, Israel
Coding Theory, Digital Sequences, Block Design
Szabolcs Levente Fancsali
Institute of Mathematics
Eötvös Loránd University, Hungary
Finite geometry (t-spreads); Network coding and secret sharing
Thomas Feulner
Institute for Mathematics
University of Bayreuth, Germany
Automorphism Group, Equivalence, Bounds, Construction
Olav Geil
Department of Mathematical Sciences
Aalborg University, Denmark
Algebraic Coding Theory, Network Coding and Polynomials over Finite Fields
Luca Giuzzi
DICATAM - Section of Mathematics
University of Brescia, Italy
Coding theory; Cryptography; Finite Geometry
Faruk Gologlu
Claude Shannon Institute
University College Dublin, Ireland
Finite Fields, Polynomials over Finite Fields
Elisa Gorla
Institute of Mathematics
University of Neuchâtel, Switzerland
Network Coding, Cryptography, Gröbner Bases, Algebraic Combinatorics
Marcus Greferath
Department of Mathematics and Systems Analysis
Aalto University, Finland
Algebraic Coding Theory, q-ary Designs; Fourier inversion, Möbius inversion, Exponential sums
Russell Higgs
School of Mathematical Sciences
University College Dublin, Ireland
Algebraic Coding Theory, Network Coding, Wireless Sensor Networks
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.
José Ignacio Iglesias Curto
Department of Mathematics
University of Salamanca, Spain
Convolutional codes, algebraic geometric codes, decoding algorithms, optimal constructions
Petteri Kaski
Department of Information and Computer Science
Aalto University, Finland
Michael Kiermaier
Institute for Mathematics
University of Bayreuth, Germany
Codes over Rings, Finite Geometry, Computer-aided Construction of Combinatorial Objects
†Axel Kohnert
Institute for Mathematics
University of Bayreuth, Germany
Construction, Classification, Bounds, Foundations
Mladen Kovačević
Power, Electronics and Communication Engineering
University of Novi Sad, Serbia
Algebraic and combinatorial coding theory
Sascha Kurz
Institute for Mathematics
University of Bayreuth, Germany
Random Network Coding, Exhaustive Search, Integer Linear Programming
Ivan Landjev
Department of Informatics
New Bulgarian University, Bulgaria
Network Codes, q-Analogs of Designs, Chain Ring Analogs of Designs, Bounds for Network Codes
Cristina Martínez
Mathematics Department
Autonomous University of Barcelona, Spain
Network coding and cryptography
Umberto Martínez-Peñas
Department of Mathematical Sciences
Aalborg University, Denmark
Algebraic Coding Theory, Network Coding, Cryptography
Gary McGuire
School of Mathematical Sciences
University College Dublin, Ireland
Algebraic Methods in Network Coding
José María Muñoz Porras
Department of Mathematics
University of Salamanca, Spain
Convolutional codes, algebraic geometric codes, decoding algorithms, optimal constructions
Anamari Nakic
Faculty of Electrical Engineering and Computing
University of Zagreb, Croatia
Designs over GF(q)
Patric Östergård
Dpt. of Communications and Networking
Aalto University, Finland
Coding Theory, Combinatorial Algorithms, Design Theory
Kamil Otal
Institute of Applied Mathematics
Middle East Technical University, Turkey
Network Coding, AG Codes
Ferruh Özbudak
Institute of Applied Mathematics
Middle East Technical University, Turkey
Mario Osvin Pavčević
Applied Mathematics, Fac. of Electrical Eng. and Computing
University of Zagreb, Croatia
Constructions of Designs, in Particular q-Analogs of t-Designs
Francesco Pavese
Dpt. of Mathematics, Informatics and Economics
University of Basilicata, Italy
Construction of Network Codes and Grassmannian Codes, Bounds on the Size of Network Codes
Ruud Pellikaan
Discrete Mathematics
Technical University Eindhoven, Netherlands
Error Correcting Codes, Algebraic Geometry Codes, Code Based Cryptography
Raquel Pinto
Department of Mathematics
University of Aveiro, Portugal
Bounds on the Size of Network Codes and Construction of Network Codes and Grassmannian Codes
Alberto Ravagnani
Institute of Mathematics
University of Neuchâtel, Switzerland
Network Coding
Netanel Raviv
Computer Science Department
Technion, Israel
Network Coding, Subspace Codes, Designs over Finite Fields
Ago-Erik Riet
Faculty of Mathematics and Informatics
University of Tartu, Estonia
Combinatorics, Codes over Permutations
Paula Rocha-Malonek
Faculty of Engineering
University of Porto, Portugal
Foundational Aspects, Algebraic Methods in Random Network Coding; Construction of Network Codes
Joachim Rosenthal
Institute of Mathematics
University of Zurich, Switzerland
Network Codes, Schubert Calculus, Convolutional Codes
Vanessa Santana
Department of Mathematics
University of Aveiro, Portugal
Construction of Network Codes and Grassmannian Codes
Maria Conceição Santos Rocha
Department of Mathematics
University of Aveiro, Portugal
Network coding, error-correcting codes
Natalia Silberstein
Computer Science Department
Technion, Israel
Coding for distributed storage systems, coding in projective spaces
Rita Simões
Department of Mathematics
University of Aveiro, Portugal
Vitaly Skachek
Institute of Computer Science
University of Tartu, Estonia
Network Coding, Error-Correcting Codes
Xaro Soler
Department of Statistics and Operations Research
University of Alicante, Spain
Finite Group Theory, Network Coding
Eda Tekin
Institute of Applied Mathematics
Middle East Technical University, Turkey
Network Coding, Subspace Codes
Marisa Toste
School of Technology and Management
Polytechnic Institute of Coimbra, Portugal
M. Ángeles Vázquez-Castro
Telecommunications and Systems Engineering
Autonomous University of Barcelona, Spain
Network Coding for Throughput Improvement and for Reliability Improvement; Physical Layer, Network Layer
Paolo Vettori
Department of Mathematics
University of Aveiro, Portugal
Construction of Network Codes and Convolutional Network Codes
Renata Vlahović
Department of Mathematics
University of Zagreb, Croatia
Quasi-symmetric designs
Antonia Wachter-Zeh
Computer Science Department
Technion, Israel
Network coding, Rank metric codes (Gabidulin codes)
Alfred Wassermann
Institute for Mathematics
University of Bayreuth, Germany
Construction of Network Codes, Isomorphisms
Alexander Zeh
Computer Science Department
Technion, Israel
Reed-Solmon Codes, Cyclic Codes, List Decoding