Pith. sign in

REVIEW 1 cited by

Complex Hadamard matrices of order 6: a four-parameter family

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1008.0632 v1 pith:VTEZNWNT submitted 2010-08-03 math.OA

Ferenc Szöllősi This is my paper · ORCID
classification math.OA
keywords familycomplexhadamardmatricesorderfour-parameteralgebraiccharacterization
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In this paper we construct a new, previously unknown four-parameter family of complex Hadamard matrices of order 6, the entries of which are described by algebraic functions of roots of various sextic polynomials. We conjecture that the new, generic family G together with Karlsson's degenerate family K and Tao's spectral matrix S form an exhaustive list of complex Hadamard matrices of order 6. Such a complete characterization might finally lead to the solution of the famous MUB-6 problem.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New Cardinalities for Quantum Latin Squares of Order Six

    math.CO 2026-07 unverdicted novelty 6.0 of 10

    Explicit six-by-six quantum Latin squares with 19, 21, 23, 25, and 27 distinct states are constructed, completing the order-six cardinality list through 28.

Pith tools