89×89 {-1, +1} matrix of largest known determinant

|Det R| = 1165729954414365496202893614947911393918604879059221018050560×288 = 220×2243×288

Ratio of |Det R| to Barba bound: 0.751646

M=RTR:


M=R RT:


R:


Notes:

  1. At this time the authors of this page do not have a matrix that achieves the stated determinant.
  2. Cannot achieve Barba bound as 177=2×89-1 is not a perfect square.
  3. This value was obtained by Farmakis and Kounias [FK] using an 88×88 Hadamard matrix of largest known excess. (The largest known excess is 792. The maximal excess is not known [FK].)

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Page created 11 May 2004.
Last modified 11 May 2004.
Comments: maxdet@indiana.edu