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The Hamming and Golay Number-Theoretic Transforms
Published 25 Jun 2018 in cs.IT, eess.SP, and math.IT | (1806.09727v2)
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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