2000 character limit reached
The Hamming and Golay Number-Theoretic Transforms (1806.09727v2)
Published 25 Jun 2018 in cs.IT, eess.SP, and math.IT
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.