Classification of eight dimensional perfect forms

By M. D. Sikiric, A. Schuermann, Frank Vallentin. 2006

70 citations recorded by the source corpus.

In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here we describe algorithms making the classification possible.

Subfields: Computer Vision and Pattern Recognition, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/6d84bd94533a0536ce1ec5cb84019f584adb3e3c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Christophe Soulé
2. Herbert Gangl

In Electrical and Electronic Engineering

1. Philippe Elbaz-Vincent
2. Christophe Soulé
3. Herbert Gangl

Citations in the corpus

• Perfect forms, K-theory and the cohomology of modular groups (2013, background): “The classification of perfect forms of rank 8 was achieved by Dutour, Schürmann and Vallentin in 2005 [9,28].”