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Hadamard Design


A symmetric block design (4n+3, 2n+1, n) which is equivalent to a Hadamard matrix of order 4n+4. It is conjectured that Hadamard designs exist for all integers n>0, but this has not yet been proven. This elusive proof (or disproof) remains one of the most important unsolved problems in combinatorics.


See also

Hadamard Matrix, Symmetric Block Design

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References

Dinitz, J. H. and Stinson, D. R. "A Brief Introduction to Design Theory." Ch. 1 in Contemporary Design Theory: A Collection of Surveys (Ed. J. H. Dinitz and D. R. Stinson). New York: Wiley, pp. 1-12, 1992.

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Hadamard Design

Cite this as:

Weisstein, Eric W. "Hadamard Design." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HadamardDesign.html

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