An Atlas of Weighing Matrices
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Notes:
  • The AWM contains weighing matrices W(n,k), in the range 1 <= n <= 200 and 1 <= k <= n
  • Coloring Scheme:
    1. GREEN indicates that W(n,k) is available in AWM
    2. RED indicates that W(n,k) does not exist (non-existence inequalities, or sporadic cases)
    3. BLUE indicates that W(n,k) is
      • not available in AWM but known to exist
      • not available in AWM but existence is unresolved
  • For n = 1, 2, 0 (mod 4), the W(n,n) are Hadamard matrices H(n)
  • All weighing matrices stored in AWM are given in Maple format
  • All weighing matrices stored in AWM come with a documentation indicating their origin
  • Some statistics pertaining to the weighing matrices stored in AWM are provided