A modern digital system of communication uses advanced mathematics in a great number of ways. When information is stored or transmitted one can not be sure that the data one receives or reads is the same as the transmitted or stored. If A wants to transmit information to B this is first represented as efficient as possible and then a codeword is created by adding extra symbols. This proces is called encoding. The word treceived by B is changed by noise in the communication channel but using the extra symbols it is often, or at least with high probability, possible to recover the sent word. This proces is called decoding. When constructing codes one wants 1) the codes should have a ( mathematical) structure such that the en- and decoding algorithms have low complexity and 2) The code should be able to correct the maximal number of errors using a minimum number of redundant symbols. The mathematical problems that arises in connection with constrution and use of error-correcting codes can be attacjed using algebraic, geometric and combinatorial methods and even if the questions one wants to answer have a technical source it leads to a long series of important and intersting mathematical problems.
The coding group at DTU has for many years contributed significantly to the solution of this kind of problems.
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  • I E E E Transactions on Information Theory

    ISSNs: 0018-9448

    Additional searchable ISSN (Electronic): 1557-9654

    I E E E, United States

    ISI indexed (2013): ISI indexed yes, BFI (2015): BFI-level 2, Scopus rating (2015): 1.433 2.001

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    Journal

  • Designs, Codes and Cryptography

    ISSNs: 0925-1022

    Additional searchable ISSN (Electronic): 1573-7586

    Springer New York LLC, United States

    ISI indexed (2013): ISI indexed yes, BFI (2015): BFI-level 1, Scopus rating (2015): 0.649 1.166

    Central database

    Journal

  • Lecture Notes in Computer Science

    ISSNs: 0302-9743, 0302-9743, 0302-9743

    Additional searchable ISSN (Electronic): 1611-3349

    Springer, Germany

    ISI indexed (2013): ISI indexed no, BFI (2015): BFI-level 1, Scopus rating (2015): 0.252 0.365

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    Journal: Book series

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