On perfect codes that do not contain Preparata-like codes
Information Theory
2019-08-29 v3 math.IT
Abstract
We show that for every length of form , there exists a binary -perfect code that does not include any Preparata-like code.
Cite
@article{arxiv.1512.03048,
title = {On perfect codes that do not contain Preparata-like codes},
author = {Denis S. Krotov and Anastasia Yu. Vasil'eva},
journal= {arXiv preprint arXiv:1512.03048},
year = {2019}
}
Comments
Eng. 4pp + Rus. 5pp. v.2: English translation added. v.3: accepted version (minor revision, more explanations in some places)