Rotated Dn-lattices
Grasiele Cristiane Jorge, Agnaldo Jos\'e Ferrari, Sueli Irene, Rodrigues Costa
TL;DR
This paper constructs families of rotated Dn-lattices using algebraic number theory, providing explicit formulas for their minimum product distance, which are suitable for reliable signal transmission over Gaussian and Rayleigh fading channels.
Contribution
It introduces a novel algebraic number theory-based method to construct rotated Dn-lattices with full diversity and derives closed-form expressions for their minimum product distance.
Findings
Lattices exhibit full diversity for signal transmission.
Explicit formulas for minimum product distance are derived.
Lattices are suitable for Gaussian and Rayleigh fading channels.
Abstract
Based on algebraic number theory we construct some families of rotated Dn-lattices with full diversity which can be good for signal transmission over both Gaussian and Rayleigh fading channels. Closed-form expressions for the minimum product distance of those lattices are obtained through algebraic properties.
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 · graph theory and CDMA systems · Cellular Automata and Applications