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A Method for Fast Computation of the Fourier Transform over a Finite Field

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Abstract

We consider the problem of fast computation of the Fourier transform over a finite field by decomposing an arbitrary polynomial into a sum of linearized polynomials. Examples of algorithms for the Fourier transform with complexity less than that of the best known analogs are given.

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Authors and Affiliations

  1. St. Petersburg State Polytechnic University, Russia

    P. V. Trifonov & S. V. Fedorenko

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  1. P. V. Trifonov
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  2. S. V. Fedorenko
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Trifonov, P.V., Fedorenko, S.V. A Method for Fast Computation of the Fourier Transform over a Finite Field. Problems of Information Transmission 39, 231–238 (2003). https://doi.org/10.1023/A:1026171930630

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