On a class of quaternary complex Hadamard matrices
Kai Fender, Hadi Kharaghani, Sho Suda
TL;DR
This paper introduces a new class of complex Hadamard matrices with entries from two complex numbers and their conjugates, linking them to association schemes derived from skew Paley matrices.
Contribution
It presents a novel class of regular unit Hadamard matrices and establishes their connection to Bose-Mesner algebras of specific association schemes.
Findings
New class of quaternary complex Hadamard matrices introduced
Matrices are contained in Bose-Mesner algebra of an association scheme
Connection to skew Paley matrices established
Abstract
We introduce a class of regular unit Hadamard matrices whose entries consist of two complex numbers and their conjugates for a total of four complex numbers. We then show that these matrices are contained in the Bose-Mesner algebra of an association scheme arising from skew Paley matrices.
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 · Advanced Topics in Algebra · Coding theory and cryptography