Network Coding




Network Coding (NC)


Prof. Dr.-Ing. Georg Carle
Prof. Dr.-Ing. Wolfgang Utschick
Dipl.-Ing. Stephan M. Günther, M.Sc.
Maximilian Riemensberger, M.Sc. (hons)


3V + 2VU

ECTS Credits




The written exam is scheduled for Friday, February 6, 2015 from 8:30 to 9:30am in MI HS2. Sorry for the time slot... Please register for the exam until 2015/01/30 via TUMOnline.


NC got its final module number IN2315. The course has been renamed accordingly in TUMOnline.


The lecture has been approved as independent module and will be assigned a new module number within the next few days.


The "public" git repository is now online: "git clone".


Registration via TUMOnline is unlocked from today.


The format of this lecture is kindly supported by the TUMLehrfonds.


The website for this lecture is online. Since this is a new course, there is no final module number yet. More information will follow.

Lecture material



Last modified

Lecture slides (combined)



Lecture slides 2014/10/15



Tutorial 1



Tutorial 1 solution



Tutorial 2



Tutorial 2 solution



Tutorial 3



Tutorial 3 solution



Tutorial 4



Tutorial 4 solution



Previous knowledge

Please note that we expect firm knowledge in the following areas:

  • Grundlagen Rechnernetze und Verteilte Systeme (IN0010)
  • Diskrete Strukturen (IN0015)
  • Diskrete Wahrscheinlichkeitstheorie (IN0018)
  • good programming skills in C (or C++)
  • full compliance with kernel coding guidelines (we do not plan to do kernel programming)


Conventional routing is unable to achieve a network's capacity as given by the min-cut max-flow theorem - a rather theoretical point of view. Network Coding (NC) is an approach to achieve this very capacity in practice and can thus be considered a generalization of routing. Just think about it: Intermediate nodes (let us call them "router") normally only send identical copies of previously received packets (forget about the headers). NC extends their capability by demanding that sent packets are arbitrary linear combinations of previously received packets. Sounds strange? It is...

Here is a brief example to make you curious:
Assume A wants to transmit n packets over a lossy link to B. With conventional approaches, B would have to acknowledge successful receipt of each individual packet such that A can retransmit any packets that got lost in transmission.  If you use NC, A does not send the actual information contained in each individual packet but linear combinations of all packets. Obviously, B needs n linear independent packets to decode. If any packet gets lost during transmission, B does not need to signal a specific loss to A. Instead, A continues to transmit random (independent) linear combinations of those n packets until B has assembled enough packets to decode the whole batch.

This example is very basic, and actually only even a degenerated case of NC. But it gives you the underlying idea. Now just assume there are not only A and B but a number of intermediate nodes, each of them listening, buffering packets, and sending linear combinations. Instead of deciding which specific packet to send where, those nodes have to decide how often a random linear combination is being broadcast.

The lecture is a combination of usual classes combined with practical sessions during classes, i.e., you are encouraged to bring your notebooks and participate in the projects.

The theoretic part of the lecture covers the following topics:

  • NC as generalization of routing
  • min-cut/max-flow theorem
  • linear programming
  • packet loss and channel estimation
  • ARQ mechanisms
  • random linear network coding (RLNC)
  • applications of NC
  • bidirectional coding
  • NC in transport and link-layer protocols
  • NC in wireless networks
  • acknowledgement schemes for NC
  • combination of NC on different layers

The practical part (projects) cover the following topics:

  • socket programming
  • IEEE 802.11 raw sockets
  • implementation of RLNC and acknowledgement schemes
  • window protocols for NC
  • many more if you want


Lecture with integrated exercises.


The lecture is complemented by integrated exercises and demonstrations. On that basis, students are encouraged to propose individual practical projects, which are worked on in the second half of the lecture. Those projects may be done in groups of at most two students and are supervised during class hours. At the end of the lecture period students should present their projects to their class mates by presentation and/or demonstration.


You can register for the lecture via TUMonline. Please note that you have to register for exams separately.



You have to register for the exam via TUMOnline until 2015/01/30. The exam is scheduled for 2015/02/06 8:30-9:30am in MI HS2.

Exam and bonus

Written or oral exam (60%) and project (40%). Credits earned in the project are added to the exam result and considered as bonus if and only if the exam itself (without project) is passed with grading "4.0" or better. The project cannot worsen your final grade. The duration of the written exam is 60 minutes. In case of a written exam you may use

  • 1 sheet of paper (A4, both sides, hand-written) and
  • a dictionary without additional comments.

Please bring your student card and identity card to the exam.