✦ LIBER ✦

Even unimodular Euclidean lattices in dimension 32

✍ Scribed by B. B. Venkov

Publisher: Springer US
Year: 1984
Tongue: English
Weight: 566 KB
Volume: 26
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf01670570

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extremal Even Unimodular Lattices of Ran

Extremal Even Unimodular Lattices of Rank 32 and Related Codes

✍ Helmut Koch; Gabriele Nebe 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 401 KB

On even unimodular positive definite qua

On even unimodular positive definite quadratic lattices of rank 32

✍ Michio Ozeki 📂 Article 📅 1986 🏛 Springer-Verlag 🌐 French ⚖ 366 KB

An example of a 32-dimensional even unim

An example of a 32-dimensional even unimodular lattice

✍ A. G. Chernyakov 📂 Article 📅 1981 🏛 Springer US 🌐 English ⚖ 420 KB

Minima of Odd Unimodular Lattices in Dim

Minima of Odd Unimodular Lattices in Dimension 24m

✍ Mark Gaulter 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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.

An Optimal Unimodular Lattice in Dimensi

An Optimal Unimodular Lattice in Dimension 39

✍ T.Aaron Gulliver; Masaaki Harada 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

An optimal odd unimodular lattice in dim

An optimal odd unimodular lattice in dimension 72

✍ Masaaki Harada; Tsuyoshi Miezaki 📂 Article 📅 2011 🏛 Springer 🌐 English ⚖ 150 KB