The Hamming and Golay Number-Theoretic Transforms
Information Theory
2019-09-27 v2 Signal Processing
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.
Keywords
Cite
@article{arxiv.1806.09727,
title = {The Hamming and Golay Number-Theoretic Transforms},
author = {A. J. A. Paschoal and R. M. Campello de Souza and H. M. de Oliveira},
journal= {arXiv preprint arXiv:1806.09727},
year = {2019}
}
Comments
5 pages, 2 figures