Information on Result #547854

There is no linear OA(4114, 232, F4, 80) (dual of [232, 118, 81]-code), because construction Y1 would yield
  1. OA(4113, 148, S4, 80), but
    • the linear programming bound shows that M ≥ 134390 122763 442072 744489 280693 386578 084491 173770 590049 483300 612364 941999 081453 236362 093214 564352 / 1168 599339 892305 226318 359375 > 4113 [i]
  2. OA(4118, 232, S4, 84), but
    • discarding factors would yield OA(4118, 148, S4, 84), but
      • the linear programming bound shows that M ≥ 7301 270043 157677 378834 968797 352546 115167 116693 516048 447726 743341 396059 833062 672218 026684 710912 / 58934 105814 768105 796875 > 4118 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.