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
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 .
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