M. Harada

most citedExtremal unimodular lattices in dimension 36

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.CO2015★ 1 cited

Extremal unimodular lattices in dimension 36

Masaaki Harada

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.

math.CO2015

Extremal Type I $Z_{k}$ -codes and $k$ -frames of odd unimodular lattices

Masaaki Harada

For some extremal (optimal) odd unimodular lattice $L$ in dimensions $12, 16, 20, 28, 32, 36, 40$ and $44$ , we determine all integers $k$ such that $L$ contains a $k$ -frame. This result…

math.CO2013

On the Existence of Frames of Some Extremal Odd Unimodular Lattices and Self-Dual Zk-Codes

Masaaki Harada, Tsuyoshi Miezaki

For some extremal (optimal) odd unimodular lattices L in dimensions n=12,16,20,32,36,40 and 44, we determine all positive integers k such that L contains a k-frame. This result yie…

Extremal unimodular lattices in dimension 36

Extremal Type I Zk​-codes and k-frames of odd unimodular lattices

On the Existence of Frames of Some Extremal Odd Unimodular Lattices and Self-Dual Zk-Codes

Extremal Type I $Z_{k}$ -codes and $k$ -frames of odd unimodular lattices