Information on Result #60795
There is no OA(597, 112, S5, 76), because the linear programming bound shows that M ≥ 29 282971 382900 591824 936232 851882 769051 034272 056455 165511 579252 779483 795166 015625 / 409917 357801 > 597
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(598, 113, S5, 77) | [i] | Truncation | |
| 2 | No OOA(598, 112, S5, 2, 77) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(5101, 112, S5, 2, 80) | [i] | ||
| 4 | No OOA(5104, 112, S5, 2, 83) | [i] | ||
| 5 | No OOA(5105, 112, S5, 2, 84) | [i] | ||
| 6 | No OOA(5106, 112, S5, 2, 85) | [i] | ||
| 7 | No OOA(5107, 112, S5, 2, 86) | [i] | ||
| 8 | No OOA(5108, 112, S5, 2, 87) | [i] | ||
| 9 | No OOA(5109, 112, S5, 2, 88) | [i] | ||
| 10 | No OOA(5110, 112, S5, 2, 89) | [i] | ||
| 11 | No OOA(5111, 112, S5, 2, 90) | [i] | ||
| 12 | No OOA(5112, 112, S5, 2, 91) | [i] | ||
| 13 | No OOA(5113, 112, S5, 2, 92) | [i] | ||
| 14 | No OOA(5114, 112, S5, 2, 93) | [i] | ||
| 15 | No OOA(5115, 112, S5, 2, 94) | [i] | ||
| 16 | No OOA(5116, 112, S5, 2, 95) | [i] | ||
| 17 | No OOA(5117, 112, S5, 2, 96) | [i] | ||
| 18 | No OOA(5118, 112, S5, 2, 97) | [i] | ||
| 19 | No OOA(5119, 112, S5, 2, 98) | [i] | ||
| 20 | No OOA(5120, 112, S5, 2, 99) | [i] | ||
| 21 | No OOA(5121, 112, S5, 2, 100) | [i] | ||
| 22 | No OOA(5122, 112, S5, 2, 101) | [i] | ||
| 23 | No OOA(5123, 112, S5, 2, 102) | [i] | ||
| 24 | No OOA(5124, 112, S5, 2, 103) | [i] | ||
| 25 | No OOA(5125, 112, S5, 2, 104) | [i] | ||
| 26 | No OOA(5126, 112, S5, 2, 105) | [i] | ||
| 27 | No OOA(5127, 112, S5, 2, 106) | [i] | ||
| 28 | No OOA(5128, 112, S5, 2, 107) | [i] | ||
| 29 | No OOA(5129, 112, S5, 2, 108) | [i] | ||
| 30 | No OOA(5130, 112, S5, 2, 109) | [i] | ||
| 31 | No OOA(5131, 112, S5, 2, 110) | [i] | ||
| 32 | No OOA(5132, 112, S5, 2, 111) | [i] | ||
| 33 | No OOA(5133, 112, S5, 2, 112) | [i] | ||
| 34 | No OOA(5134, 112, S5, 2, 113) | [i] | ||
| 35 | No OOA(5135, 112, S5, 2, 114) | [i] | ||
| 36 | No OOA(5136, 112, S5, 2, 115) | [i] | ||
| 37 | No OOA(5137, 112, S5, 2, 116) | [i] | ||
| 38 | No OOA(5138, 112, S5, 2, 117) | [i] | ||
| 39 | No OOA(5139, 112, S5, 2, 118) | [i] | ||
| 40 | No OOA(5140, 112, S5, 2, 119) | [i] | ||
| 41 | No OOA(5141, 112, S5, 2, 120) | [i] | ||
| 42 | No OOA(5142, 112, S5, 2, 121) | [i] | ||
| 43 | No OOA(5143, 112, S5, 2, 122) | [i] | ||
| 44 | No OOA(5144, 112, S5, 2, 123) | [i] | ||
| 45 | No OOA(5145, 112, S5, 2, 124) | [i] | ||
| 46 | No OOA(5146, 112, S5, 2, 125) | [i] | ||
| 47 | No OOA(5147, 112, S5, 2, 126) | [i] | ||
| 48 | No OOA(5148, 112, S5, 2, 127) | [i] | ||
| 49 | No OOA(5149, 112, S5, 2, 128) | [i] | ||
| 50 | No OOA(5150, 112, S5, 2, 129) | [i] | ||
| 51 | No OOA(597, 112, S5, 2, 76) | [i] | Depth Reduction | |
| 52 | No OOA(597, 112, S5, 3, 76) | [i] | ||
| 53 | No (21, 97, 112)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |