Title
On classifying Minkowskian sublattices.
Abstract
Let $\Lambda$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $\Lambda'$ be a Minkowskian sublattice of $\Lambda$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $\Lambda$. We extend the classification of possible $\Z/d\Z$-codes of the quotients $\Lambda/\Lambda'$ to dimension~$9$, where $d\Z$ is the annihilator of $\Lambda/\Lambda'$.
Year
DOI
Venue
2012
10.1090/S0025-5718-2011-02528-7
Math. Comput.
Keywords
Field
DocType
quadratic forms,euclidean space,number theory
Combinatorics,Annihilator,Lattice (order),Mathematical analysis,Quadratic form,Quotient,Maxima and minima,Euclidean space,Minkowski space,Mathematics
Journal
Volume
Issue
ISSN
81
278
Mathematics of Computation, 81 (2012), 1063-1092
Citations 
PageRank 
References 
0
0.34
2
Authors
3