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arXiv · 1806.09727

The Hamming and Golay Number-Theoretic Transforms

A. J. A. Paschoal·R. M. Campello de Souza·H. M. de Oliveira
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Abstract

New number-theoretic transforms are derived from known linear block codes over finite fields. In particular, two new such transforms are built from perfect codes, namely the \textit {Hamming number-theoretic transform} and the \textit {Golay number-theoretic transform}. A few properties of these new transforms are presented.

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A. J. A. Paschoal, R. M. Campello de Souza, H. M. de Oliveira. 2018-09-25. The Hamming and Golay Number-Theoretic Transforms. https://doi.org/10.14209/sbrt.2018.179

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