Unbiased orthogonal designs
Hadi Kharaghani, Sho Suda
TL;DR
This paper introduces unbiased orthogonal designs, generalizing existing matrix concepts, and provides bounds and constructions leading to new mutually quasi-unbiased weighing matrices.
Contribution
It presents the concept of unbiased orthogonal designs, establishes upper bounds, and offers new constructions for mutually quasi-unbiased weighing matrices.
Findings
Established upper bounds for mutually unbiased orthogonal designs.
Constructed new mutually quasi-unbiased weighing matrices.
Extended the framework of unbiased matrix designs.
Abstract
The notion of unbiased orthogonal designs is introduced as a generalization among unbiased Hadamard matrices, unbiased weighing matrices and quasi-unbiased weighing matrices. We provide upper bounds and several constructions for mutually unbiased orthogonal designs. As an application, mutually quasi-unbiased weighing matrices for various parameters are obtained.
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
Topicsgraph theory and CDMA systems · Optimal Experimental Design Methods · Coding theory and cryptography