Information on Result #63726
There is no OOA(5123, 63, S5, 2, 111), because the (dual) Plotkin bound for OOAs shows that M ≥ 470 197740 328915 003187 494614 888898 271127 466222 708835 008603 500682 511366 903781 890869 140625 / 4 > 5123
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(5124, 64, S5, 2, 112) | [i] | Truncation for OOAs | |
| 2 | No OOA(5125, 64, S5, 2, 113) | [i] | ||
| 3 | No OOA(5126, 65, S5, 2, 114) | [i] | ||
| 4 | No OOA(5127, 65, S5, 2, 115) | [i] | ||
| 5 | No OOA(5128, 66, S5, 2, 116) | [i] | ||
| 6 | No OOA(5129, 66, S5, 2, 117) | [i] | ||
| 7 | No OOA(5130, 67, S5, 2, 118) | [i] | ||
| 8 | No OOA(5131, 67, S5, 2, 119) | [i] | ||
| 9 | No OOA(5132, 68, S5, 2, 120) | [i] | ||
| 10 | No OOA(5133, 68, S5, 2, 121) | [i] | ||
| 11 | No OOA(5134, 69, S5, 2, 122) | [i] | ||
| 12 | No OOA(5135, 69, S5, 2, 123) | [i] | ||
| 13 | No OOA(5136, 70, S5, 2, 124) | [i] | ||
| 14 | No OOA(5137, 70, S5, 2, 125) | [i] | ||
| 15 | No OOA(5138, 71, S5, 2, 126) | [i] | ||
| 16 | No OOA(5139, 71, S5, 2, 127) | [i] | ||
| 17 | No OOA(5140, 72, S5, 2, 128) | [i] | ||
| 18 | No OOA(5141, 72, S5, 2, 129) | [i] | ||
| 19 | No OOA(5142, 73, S5, 2, 130) | [i] | ||
| 20 | No OOA(5143, 73, S5, 2, 131) | [i] | ||
| 21 | No OOA(5144, 74, S5, 2, 132) | [i] | ||
| 22 | No OOA(5145, 74, S5, 2, 133) | [i] | ||
| 23 | No OOA(5146, 75, S5, 2, 134) | [i] | ||
| 24 | No OOA(5147, 75, S5, 2, 135) | [i] | ||
| 25 | No OOA(5148, 76, S5, 2, 136) | [i] | ||
| 26 | No OOA(5149, 76, S5, 2, 137) | [i] | ||
| 27 | No OOA(5150, 77, S5, 2, 138) | [i] | ||
| 28 | No OOA(5124, 63, S5, 3, 112) | [i] | m-Reduction for OOAs | |
| 29 | No OOA(5125, 63, S5, 3, 113) | [i] | ||
| 30 | No OOA(5126, 63, S5, 3, 114) | [i] | ||
| 31 | No OOA(5127, 63, S5, 3, 115) | [i] | ||
| 32 | No OOA(5128, 63, S5, 3, 116) | [i] | ||
| 33 | No OOA(5129, 63, S5, 3, 117) | [i] | ||
| 34 | No OOA(5130, 63, S5, 3, 118) | [i] | ||
| 35 | No OOA(5131, 63, S5, 3, 119) | [i] | ||
| 36 | No OOA(5132, 63, S5, 3, 120) | [i] | ||
| 37 | No OOA(5133, 63, S5, 3, 121) | [i] | ||
| 38 | No OOA(5134, 63, S5, 3, 122) | [i] | ||
| 39 | No OOA(5135, 63, S5, 3, 123) | [i] | ||
| 40 | No OOA(5136, 63, S5, 3, 124) | [i] | ||
| 41 | No OOA(5137, 63, S5, 3, 125) | [i] | ||
| 42 | No OOA(5138, 63, S5, 3, 126) | [i] | ||
| 43 | No OOA(5139, 63, S5, 3, 127) | [i] | ||
| 44 | No OOA(5140, 63, S5, 3, 128) | [i] | ||
| 45 | No OOA(5141, 63, S5, 3, 129) | [i] | ||
| 46 | No OOA(5142, 63, S5, 3, 130) | [i] | ||
| 47 | No OOA(5143, 63, S5, 3, 131) | [i] | ||
| 48 | No OOA(5144, 63, S5, 3, 132) | [i] | ||
| 49 | No OOA(5145, 63, S5, 3, 133) | [i] | ||
| 50 | No OOA(5146, 63, S5, 3, 134) | [i] | ||
| 51 | No OOA(5147, 63, S5, 3, 135) | [i] | ||
| 52 | No OOA(5148, 63, S5, 3, 136) | [i] | ||
| 53 | No OOA(5149, 63, S5, 3, 137) | [i] | ||
| 54 | No OOA(5150, 63, S5, 3, 138) | [i] | ||
| 55 | No OOA(5123, 63, S5, 3, 111) | [i] | Depth Reduction | |
| 56 | No (12, 123, 63)-net in base 5 | [i] | Extracting Embedded OOA | |