Another Generalization of the Reed-Muller Codes
Information Theory
2017-01-03 v2 math.IT
Abstract
The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over in the literature. The major objective of this paper is to present another generalization of the punctured binary Reed-Muller code. Another objective is to construct a family of reversible cyclic codes that are related to the newly generalized Reed-Muller codes.
Keywords
Cite
@article{arxiv.1605.03796,
title = {Another Generalization of the Reed-Muller Codes},
author = {Cunsheng Ding and Chunlei Li and Yongbo Xia},
journal= {arXiv preprint arXiv:1605.03796},
year = {2017}
}