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Lattices like the Leech lattice

✍ Scribed by Richard E Borcherds


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
970 KB
Volume
130
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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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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✍ Masaaki Harada; Masaaki Kitazume πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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