Abstract
An invariant subcode of a linear block code under the permutation is introduced. The concept of invariant subcode has two types of applications. The first type is decoding of linear block codes given the group of symmetry. The second type is the attack the McEliece cryptosystem based on codes correcting errors. Several examples illustrating the concept are presented.
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Acknowledgments
The reported study was funded by RFBR according to the research project No. 16-01-00716 a.
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Fedorenko, S.V., Krouk, E. (2016). An Invariant Subcode of Linear Code. In: Pietro, G., Gallo, L., Howlett, R., Jain, L. (eds) Intelligent Interactive Multimedia Systems and Services 2016. Smart Innovation, Systems and Technologies, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-319-39345-2_15
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DOI: https://doi.org/10.1007/978-3-319-39345-2_15
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