Information on Result #547852

There is no linear OA(4111, 229, F4, 78) (dual of [229, 118, 79]-code), because construction Y1 would yield
  1. OA(4110, 145, S4, 78), but
    • the linear programming bound shows that M ≥ 49373 306964 861862 839083 768214 951308 945061 380326 149716 021338 126814 314674 695519 115905 973031 534592 / 23434 367822 584829 194407 918903 > 4110 [i]
  2. OA(4118, 229, 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.