2015arXiv (Cornell University)Open access

Extremal unimodular lattices in dimension 36

Masaaki Harada

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Abstract

In this paper, new extremal odd unimodular lattices in dimension $36$ are constructed. Some new odd unimodular lattices in dimension $36$ with long shadows are also constructed.

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What this paper is about

In this paper, new extremal odd unimodular lattices in dimension $36$ are constructed. Some new odd unimodular lattices in dimension $36$ with long shadows are also constructed.

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Available abstract

In this paper, new extremal odd unimodular lattices in dimension $36$ are constructed. Some new odd unimodular lattices in dimension $36$ with long shadows are also constructed.

Key concepts: Unimodular matrix, Dimension (graph theory), Mathematics, Combinatorics, Pure mathematics

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