Extremal unimodular lattices in dimension 36
Masaaki Harada
TL;DR
This paper constructs new extremal odd unimodular lattices in dimension 36, including some with long shadows, advancing the understanding of lattice structures in high dimensions.
Contribution
It introduces novel extremal odd unimodular lattices in dimension 36, expanding the catalog of known lattices with specific shadow properties.
Findings
New extremal odd unimodular lattices in dimension 36
Construction of lattices with long shadows in dimension 36
Enhanced understanding of lattice structures in high dimensions
Abstract
In this paper, new extremal odd unimodular lattices in dimension are constructed. Some new odd unimodular lattices in dimension with long shadows are also constructed.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · Algebraic Geometry and Number Theory