9 Construction and Properties of the Barnes-Wall Lattices

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An Introduction to Groups and Lattices：作者：Robert L. Griess,Jr　　 ISBN：978-7-04-029205-3　出版时间：2010-06-07

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目录

1 Introduction

2 Bilinear Forms, Quadratic Forms and Their Isometry Groups

3 General Results on Finite Groups and Invariant Lattices

4 Root Lattices of Types A, D, E

5 Hermite and Minkowski Functions

6 Constructions of Lattices by Use of Codes

7 Group Theory and Representations

8 Overview of the Barnes-Wall Lattices

9 Construction and Properties of the Barnes-Wall Lattices

10 Even unimodular lattices in small dimensions

11 Pieces of Eight

References

Index

Appendix A The Finite Simple Groups

Appendix B Reprints of Selected Articles

ADVANCED LECTURES IN MATHEMATICS
- 9.1 The Barnes-Wall series and their minimal vectors
- 9.2 Uniqueness for the BW lattices
- 9.3 Properties of the BRW groups
- 9.4 Applications to coding theory
- 9.5 More about minimum vectors

9 Construction and Properties of the Barnes-Wall Lattices

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