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Fast discrete Fourier transform on local fields of positive characteristic

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Abstract

For the discrete Fourier transform with respect to the system of characters of a local field with positive characteristic, we propose a fast algorithm. We find the complexity of the algorithm.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Faculty of Mathematics and Mechanics, Chernyshevsky Saratov State University, Saratov, Russia

    S. F. Lukomskii

  2. Department of Computer Algebra and Number Theory, Faculty of Mathematics and Mechanics, Chernyshevsky Saratov State University, Saratov, Russia

    A. M. Vodolazov

Authors
  1. S. F. Lukomskii
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  2. A. M. Vodolazov
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Correspondence to S. F. Lukomskii.

Additional information

Original Russian Text © S.F. Lukomskii, A.M. Vodolazov, 2017, published in Problemy Peredachi Informatsii, 2017, Vol. 53, No. 2, pp. 60–69.

Supported by the Ministry of Education and Science of the Russian Federation, project no. 1.1520.2014/K.

Supported in part by the Russian Foundation for Basic Research, project no. 16-01-00152.

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Lukomskii, S.F., Vodolazov, A.M. Fast discrete Fourier transform on local fields of positive characteristic. Probl Inf Transm 53, 155–163 (2017). https://doi.org/10.1134/S0032946017020041

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  • DOI: https://doi.org/10.1134/S0032946017020041

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