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

Masaaki Harada; Masaaki Kitazume

doi:10.1006/eujc.1999.0360

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

Masaaki Harada, Masaaki Kitazume

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this note, we give ℤ₄-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].

Original language	English
Pages (from-to)	473-485
Number of pages	13
Journal	European Journal of Combinatorics
Volume	21
Issue number	4
DOIs	https://doi.org/10.1006/eujc.1999.0360
Publication status	Published - 2000 May
Externally published	Yes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1006/eujc.1999.0360

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title = "ℤ4-Code Constructions for the Niemeier Lattices and their Embeddings in the Leech Lattice",

abstract = "In this note, we give ℤ4-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].",

author = "Masaaki Harada and Masaaki Kitazume",

year = "2000",

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doi = "10.1006/eujc.1999.0360",

language = "English",

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AU - Harada, Masaaki

AU - Kitazume, Masaaki

PY - 2000/5

Y1 - 2000/5

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AB - In this note, we give ℤ4-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].

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JO - European Journal of Combinatorics

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

Abstract

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