Information on Result #547753

There is no linear OA(3103, 214, F3, 63) (dual of [214, 111, 64]-code), because construction Y1 would yield
  1. OA(3102, 145, S3, 63), but
    • the linear programming bound shows that M ≥ 776506 070804 940797 482287 435756 684689 957091 430666 641508 706084 490920 965603 695219 / 159956 166343 221247 242988 544800 > 3102 [i]
  2. OA(3111, 214, S3, 69), but
    • discarding factors would yield OA(3111, 148, S3, 69), but
      • the linear programming bound shows that M ≥ 34269 689678 954827 771722 528323 125817 537099 985988 010230 663767 339699 553771 239936 / 338753 436767 266709 313125 > 3111 [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.