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Codes in the Vandermonde F-Metric and Their Application

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Abstract

F-metrics are metrics based on projective sets. In this paper, construction of optimal codes for a special F-metric associated with a generalized Vandermonde matrix is given. Encoding and fast decoding algorithms are described. A public-key cryptosystem is considered as an example of a possible application of codes constructed.

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  1. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, 141700, Russia

    E. M. Gabidulin & V. A. Obernikhin

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  1. E. M. Gabidulin
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  2. V. A. Obernikhin
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Gabidulin, E.M., Obernikhin, V.A. Codes in the Vandermonde F-Metric and Their Application. Problems of Information Transmission 39, 159–169 (2003). https://doi.org/10.1023/A:1025165820188

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