A sublattice of the Leech lattice

Edward Y. Miller; Sherwood Washburn

doi:10.1016/0097-3165(86)90003-8

A sublattice of the Leech lattice

Edward Y. Miller, Sherwood Washburn

Mathematics

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

Abstract

In this paper a rank 12 even lattice C is constructed which is type 3 (if v ε{lunate} C then (v, v) ≥ 6), and which has the following maximality property: C ⊕ C + 3 · Λ₂₄ can be embedded in the Leech lattice Λ₂₄, and is a maximal type 3 sublattice of Λ₂₄. The construction uses properties of the binary and ternary Golay codes.

Original language	English (US)
Pages (from-to)	9-14
Number of pages	6
Journal	Journal of Combinatorial Theory, Series A
Volume	42
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(86)90003-8
State	Published - May 1986

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Access to Document

10.1016/0097-3165(86)90003-8

Cite this

@article{96452839e9e2481d844213d1a3118df2,

title = "A sublattice of the Leech lattice",

abstract = "In this paper a rank 12 even lattice C is constructed which is type 3 (if v ε{lunate} C then (v, v) ≥ 6), and which has the following maximality property: C ⊕ C + 3 · Λ24 can be embedded in the Leech lattice Λ24, and is a maximal type 3 sublattice of Λ24. The construction uses properties of the binary and ternary Golay codes.",

author = "Miller, {Edward Y.} and Sherwood Washburn",

year = "1986",

month = may,

doi = "10.1016/0097-3165(86)90003-8",

language = "English (US)",

volume = "42",

pages = "9--14",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A sublattice of the Leech lattice

AU - Miller, Edward Y.

AU - Washburn, Sherwood

PY - 1986/5

Y1 - 1986/5

N2 - In this paper a rank 12 even lattice C is constructed which is type 3 (if v ε{lunate} C then (v, v) ≥ 6), and which has the following maximality property: C ⊕ C + 3 · Λ24 can be embedded in the Leech lattice Λ24, and is a maximal type 3 sublattice of Λ24. The construction uses properties of the binary and ternary Golay codes.

AB - In this paper a rank 12 even lattice C is constructed which is type 3 (if v ε{lunate} C then (v, v) ≥ 6), and which has the following maximality property: C ⊕ C + 3 · Λ24 can be embedded in the Leech lattice Λ24, and is a maximal type 3 sublattice of Λ24. The construction uses properties of the binary and ternary Golay codes.

UR - http://www.scopus.com/inward/record.url?scp=46149127848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46149127848&partnerID=8YFLogxK

U2 - 10.1016/0097-3165(86)90003-8

DO - 10.1016/0097-3165(86)90003-8

M3 - Article

AN - SCOPUS:46149127848

SN - 0097-3165

VL - 42

SP - 9

EP - 14

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 1

ER -

A sublattice of the Leech lattice

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this