Information on Result #60006

There is no OA(495, 137, S4, 67), because the linear programming bound shows that M ≥ 22104 781809 587516 096810 013028 563818 545188 418244 815368 767032 507053 165089 425870 777992 758790 455296 / 13 832455 953299 569826 984811 254413 209375 > 495

Mode: Bound.

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

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(495, 137, S4, 2, 67) [i]Depth Reduction
2No OOA(495, 137, S4, 3, 67) [i]
3No (28, 95, 137)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(496, 245, F4, 67) (dual of [245, 149, 68]-code) [i]Construction Y1 (Bound)