A Hadamard matrix of order 428

168 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Between primitive and 2-transitive: Synchronization and its friends (2015, background): “This is known to be true for n < 668 (the last value to be resolved was n = 428 in 2005, [73]).”
A Concise Guide to Complex Hadamard Matrices (2005, background): “Originally there was an interest in real Hadamard matrices, Hij ∈ R, which found diverse mathematical applications, in particular in error correction and coding theory [3] and in the design of statistical experiments [4].”
Hadamard Matrices of Order 32 (2013, background): “Order 668 is the smallest for which the existence of a Hadamard matrix is in doubt [11].”
Construction, classification and parametrization of complex Hadamard matrices (2011, background): “15 has been verified for orders n ≤ 664; order n = 428 has been constructed only very recently in [80].”