The lengths of projective triply-even binary codes
Combinatorics
2020-04-24 v1 Information Theory
math.IT
Abstract
It is shown that there does not exist a binary projective triply-even code of length . This settles the last open length for projective triply-even binary codes. Therefore, projective triply-even binary codes exist precisely for lengths , , , , , --, and .
Cite
@article{arxiv.1812.05957,
title = {The lengths of projective triply-even binary codes},
author = {Thomas Honold and Michael Kiermaier and Sascha Kurz and Alfred Wassermann},
journal= {arXiv preprint arXiv:1812.05957},
year = {2020}
}
Comments
12 pages, 4 tables