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Z4-Code Constructions for the Niemeier Lattices and their Embeddings in the Leech Lattice

โœ Scribed by Masaaki Harada; Masaaki Kitazume


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
121 KB
Volume
21
Category
Article
ISSN
0195-6698

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โœฆ Synopsis


In this note, we give Z 4 -code constructions of the Niemeier lattices, showing their embedding in the Leech lattice. These yield an alternative proof of a recent result by Dong et al. [5].


๐Ÿ“œ SIMILAR VOLUMES


Z6-Code Constructions of the Leech Latti
โœ Masaaki Harada; Masaaki Kitazume ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Orthogonal Frames in the Leech Lattice a
โœ T.Aaron Gulliver; Masaaki Harada ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

In this paper, we consider the problem of the existence of a basis of orthogonal vectors of norm 2k in the Leech lattice. Recently it has been shown that there is such a basis for every k ( 2) which is not of the form 11 r . In this paper, this problem is completely settled by finding such a basis f