Information on Result #63699

There is no OOA(4246, 125, S4, 2, 211), because the (dual) Plotkin bound for OOAs shows that M ≥ 869494 380222 412684 222253 513219 831024 807545 543480 189084 706499 269650 535539 669991 678640 868618 274068 291743 204275 471383 143861 823333 770000 807529 790390 140928 / 53 > 4246

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OOA(4247, 126, S4, 2, 212) [i]Truncation for OOAs
2No OOA(4248, 126, S4, 2, 213) [i]
3No OOA(4249, 127, S4, 2, 214) [i]
4No OOA(4250, 127, S4, 2, 215) [i]
5No OOA(4251, 128, S4, 2, 216) [i]
6No OOA(4252, 128, S4, 2, 217) [i]
7No OOA(4253, 129, S4, 2, 218) [i]
8No OOA(4254, 129, S4, 2, 219) [i]
9No OOA(4255, 130, S4, 2, 220) [i]
10No OOA(4256, 130, S4, 2, 221) [i]
11No OOA(4247, 125, S4, 3, 212) [i]m-Reduction for OOAs
12No OOA(4248, 125, S4, 3, 213) [i]
13No OOA(4249, 125, S4, 3, 214) [i]
14No OOA(4250, 125, S4, 3, 215) [i]
15No OOA(4251, 125, S4, 3, 216) [i]
16No OOA(4252, 125, S4, 3, 217) [i]
17No OOA(4253, 125, S4, 3, 218) [i]
18No OOA(4254, 125, S4, 3, 219) [i]
19No OOA(4255, 125, S4, 3, 220) [i]
20No OOA(4256, 125, S4, 3, 221) [i]
21No OOA(4257, 125, S4, 3, 222) [i]
22No OOA(4258, 125, S4, 3, 223) [i]
23No OOA(4259, 125, S4, 3, 224) [i]
24No OOA(4260, 125, S4, 3, 225) [i]
25No OOA(4246, 125, S4, 3, 211) [i]Depth Reduction
26No (35, 246, 125)-net in base 4 [i]Extracting Embedded OOA