Double circulant constructions of the Leech lattice (Q2707060)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Double circulant constructions of the Leech lattice |
scientific article |
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Double circulant constructions of the Leech lattice (English)
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22 July 2001
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self-dual codes
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modular forms
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Leech lattice
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0.87828636
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0.87575436
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0.85813516
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0.85339105
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Using coding theory over rings and modular forms shows that the Leech lattice can be obtained by Construction \(A\) over \(\mathbb{Z}_{2k}\) for all \(k\) except \(k\) a power of 11.NEWLINENEWLINENEWLINEThe missing case is finished by \textit{T. A. Gulliver} and \textit{M. Harada} in a forthcoming paper.
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