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
On the Uniqueness of the Leech Lattice
β Scribed by Zhe-xian Wan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 229 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
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 .
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