A partition of the hypercube into maximally nonparallel Hamming codes
Information Theory
2019-08-15 v2 Discrete Mathematics
Combinatorics
math.IT
Abstract
By using the Gold map, we construct a partition of the hypercube into cosets of Hamming codes such that for every two cosets the corresponding Hamming codes are maximally nonparallel, that is, their intersection cardinality is as small as possible to admit nonintersecting cosets.
Cite
@article{arxiv.1210.0010,
title = {A partition of the hypercube into maximally nonparallel Hamming codes},
author = {Denis Krotov},
journal= {arXiv preprint arXiv:1210.0010},
year = {2019}
}
Comments
11 pages. V.2: revised, a survey added; the accepted version