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Two Extremal Even Unimodular Lattices of Rank $88$
Abstract
In this paper, we construct two extremal positive definite even unimodular lattices of rank $88$ using a Hermitian tensor product over ℚ(√(−23)), thereby extending the known existence range for such lattices from rank $80$ to rank $88$.
Related
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BibTeX
@misc{sakamoto2026extremal,
title = {{Two Extremal Even Unimodular Lattices of Rank $88$}},
author = {Ryotaro Sakamoto},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15633},
eprint = {2609.15633},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15633},
}
RIS
TY - UNPB
TI - Two Extremal Even Unimodular Lattices of Rank $88$
AU - Ryotaro Sakamoto
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.15633
UR - https://arxiv.org/abs/2609.15633
AB - In this paper, we construct two extremal positive definite even unimodular lattices of rank $88$ using a Hermitian tensor product over ℚ(√(−23)), thereby extending the known existence range for such lattices from rank $80$ to rank $88$.
ER -