Information on Result #547946

There is no linear OA(5108, 228, F5, 82) (dual of [228, 120, 83]-code), because construction Y1 would yield
  1. OA(5107, 136, S5, 82), but
    • the linear programming bound shows that M ≥ 4 680614 732900 044285 630127 740921 339805 504137 246651 693367 478774 820966 691549 983806 908130 645751 953125 / 7377 156347 408094 956731 > 5107 [i]
  2. OA(5120, 228, S5, 92), but
    • discarding factors would yield OA(5120, 149, S5, 92), but
      • the linear programming bound shows that M ≥ 1875 115433 709844 937609 244603 657370 223629 726878 856922 329955 321895 357533 978909 714278 415776 789188 385009 765625 / 2299 458852 249280 370649 > 5120 [i]

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1No linear OA(5122, 230, F5, 93) (dual of [230, 108, 94]-code) [i]Construction Y1 (Bound)