The Hadamard circulant conjecture
Barry Hurley, Paul Hurley, Ted Hurley
TL;DR
This paper proves the Hadamard circulant conjecture by showing that the only circulant Hadamard matrix of order 4n is when n=1, confirming a long-standing mathematical hypothesis.
Contribution
The paper provides a proof that confirms the Hadamard circulant conjecture, establishing that no larger circulant Hadamard matrices exist beyond the trivial case.
Findings
Proves that if H is a circulant Hadamard matrix of order 4n, then n=1.
Confirms the Hadamard circulant conjecture.
No circulant Hadamard matrices of order greater than 4 are possible.
Abstract
It is shown that if is a circulant Hadamard then . This proves the Hadamard circulant conjecture.
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