TL;DR
This paper presents the construction of a new even extremal lattice of rank 64 using a generalized quadratic residue code, contributing to the field of lattice theory and coding theory.
Contribution
It introduces a novel method for constructing an even extremal lattice of rank 64 via generalized quadratic residue codes.
Findings
Successfully constructed an even extremal lattice of rank 64.
Demonstrated the application of generalized quadratic residue codes in lattice construction.
Provides a new example of extremal lattices in high dimensions.
Abstract
We construct an even extremal lattice of rank 64 by means of a generalized quadratic residue code.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research