The second minimum of Barnes-Wall lattices
Abstract
The paper gives a recursive construction of the Barnes-Wall lattices as subdirect products. This is used to show that the Barnes-Wall lattices of minimum d do not contain any vectors of norm a with d<a<3d/2.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.