English

A complex Hadamard matrix of order 94

Combinatorics 2026-03-11 v1

Abstract

In this paper we modify a fundamental block construction of Kharaghani and Seberry and show how to use certain circulant {1,1}\{-1,1\}-matrices of odd order pp to construct a complex Hadamard matrix of order 2p2p. In particular, for p=47p=47 we use computer-aided methods to discover the necessary circulant matrices, and consequently give a construction of a complex Hadamard matrix of order 9494 for the first time.

Cite

@article{arxiv.2603.09572,
  title  = {A complex Hadamard matrix of order 94},
  author = {Ferenc Szöllősi},
  journal= {arXiv preprint arXiv:2603.09572},
  year   = {2026}
}

Comments

6 pages, preprint

R2 v1 2026-07-01T11:12:24.754Z