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The Contact Polytope of the Leech Lattice

✍ Scribed by Mathieu Dutour Sikirić; Achill Schürmann; Frank Vallentin


Publisher
Springer
Year
2010
Tongue
English
Weight
329 KB
Volume
44
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES


A sublattice of the Leech lattice
✍ Edward Y Miller; Sherwood Washburn 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 279 KB
On the Uniqueness of the Leech Lattice
✍ Zhe-xian Wan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 229 KB

It has been found that there is an error in Venkov's proof of the uniqueness of the Leech lattice . A construction of neighbours of even unimodular lattices is studied and is used to modify Venkov's proof so that the error is corrected .

Z6-Code Constructions of the Leech Latti
✍ Masaaki Harada; Masaaki Kitazume 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 95 KB

In this paper, we construct many new extremal Type II Z 6 -codes of length 24, and consequently we show that there is at least one extremal Type II Z 6 -code C of length 24 such that the binary and ternary reductions of C are B and T , respectively, for every binary Type II code B and every extremal