Information on Result #60161

There is no OA(4126, 147, S4, 91), because the linear programming bound shows that M ≥ 340456 058530 442352 522099 250356 400004 547517 225644 691214 440472 273914 376101 952655 553716 027392 / 33 253308 357995 > 4126

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(4126, 147, S4, 2, 91) [i]Depth Reduction
2No OOA(4126, 147, S4, 3, 91) [i]
3No (35, 126, 147)-net in base 4 [i]Extracting Embedded Orthogonal Array
4No linear OA(4127, 183, F4, 91) (dual of [183, 56, 92]-code) [i]Construction Y1 (Bound)