The Hamming and Golay Number-Theoretic Transforms

06/25/2018

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by   A. J. A. Paschoal, et al.

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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 Hamming number-theoretic transform and the Golay number-theoretic transform. A few properties of these new transforms are presented.