𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An optimal odd unimodular lattice in dimension 72

✍ Scribed by Masaaki Harada; Tsuyoshi Miezaki

Publisher
Springer
Year
2011
Tongue
English
Weight
150 KB
Volume
97
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An Optimal Unimodular Lattice in Dimensi
An Optimal Unimodular Lattice in Dimension 39
✍ T.Aaron Gulliver; Masaaki Harada πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 75 KB

In this note, we construct a 39-dimensional optimal unimodular lattice with minimum norm 4 from a Euclidean-optimal self-dual code of length 39 over Z 4 . These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual Z 4 -code of length 39 with minimum Eucli

Minima of Odd Unimodular Lattices in Dim
Minima of Odd Unimodular Lattices in Dimension 24m
✍ Mark Gaulter πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 147 KB

Rains and Sloane established that the minimum of a unimodular Z-lattice in dimension 24m is bounded above by 2m+2. They conjectured that only even lattices could attain this bound. In this paper, I prove their conjecture.