Information on Result #62311
There is no OA(987, 97, S9, 77), because the linear programming bound shows that M ≥ 577 508372 587460 541806 827932 218426 944109 871880 135970 034666 716258 074835 618754 104688 984869 879637 / 5272 197931 > 987
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(988, 98, S9, 78) | [i] | Truncation | |
| 2 | No OA(989, 99, S9, 79) | [i] | ||
| 3 | No OOA(988, 97, S9, 2, 78) | [i] | m-Reduction for OOAs | |
| 4 | No OOA(989, 97, S9, 2, 79) | [i] | ||
| 5 | No OOA(990, 97, S9, 2, 80) | [i] | ||
| 6 | No OOA(991, 97, S9, 2, 81) | [i] | ||
| 7 | No OOA(992, 97, S9, 2, 82) | [i] | ||
| 8 | No OOA(993, 97, S9, 2, 83) | [i] | ||
| 9 | No OOA(994, 97, S9, 2, 84) | [i] | ||
| 10 | No OOA(995, 97, S9, 2, 85) | [i] | ||
| 11 | No OOA(996, 97, S9, 2, 86) | [i] | ||
| 12 | No OOA(997, 97, S9, 2, 87) | [i] | ||
| 13 | No OOA(998, 97, S9, 2, 88) | [i] | ||
| 14 | No OOA(999, 97, S9, 2, 89) | [i] | ||
| 15 | No OOA(9100, 97, S9, 2, 90) | [i] | ||
| 16 | No OOA(9101, 97, S9, 2, 91) | [i] | ||
| 17 | No OOA(9102, 97, S9, 2, 92) | [i] | ||
| 18 | No OOA(9103, 97, S9, 2, 93) | [i] | ||
| 19 | No OOA(9104, 97, S9, 2, 94) | [i] | ||
| 20 | No OOA(9105, 97, S9, 2, 95) | [i] | ||
| 21 | No OOA(9106, 97, S9, 2, 96) | [i] | ||
| 22 | No OOA(9107, 97, S9, 2, 97) | [i] | ||
| 23 | No OOA(9108, 97, S9, 2, 98) | [i] | ||
| 24 | No OOA(9109, 97, S9, 2, 99) | [i] | ||
| 25 | No OOA(9110, 97, S9, 2, 100) | [i] | ||
| 26 | No OOA(9111, 97, S9, 2, 101) | [i] | ||
| 27 | No OOA(9112, 97, S9, 2, 102) | [i] | ||
| 28 | No OOA(9113, 97, S9, 2, 103) | [i] | ||
| 29 | No OOA(9114, 97, S9, 2, 104) | [i] | ||
| 30 | No OOA(9115, 97, S9, 2, 105) | [i] | ||
| 31 | No OOA(9116, 97, S9, 2, 106) | [i] | ||
| 32 | No OOA(9117, 97, S9, 2, 107) | [i] | ||
| 33 | No OOA(9118, 97, S9, 2, 108) | [i] | ||
| 34 | No OOA(9119, 97, S9, 2, 109) | [i] | ||
| 35 | No OOA(9120, 97, S9, 2, 110) | [i] | ||
| 36 | No OOA(9121, 97, S9, 2, 111) | [i] | ||
| 37 | No OOA(9122, 97, S9, 2, 112) | [i] | ||
| 38 | No OOA(9123, 97, S9, 2, 113) | [i] | ||
| 39 | No OOA(9124, 97, S9, 2, 114) | [i] | ||
| 40 | No OOA(9125, 97, S9, 2, 115) | [i] | ||
| 41 | No OOA(9126, 97, S9, 2, 116) | [i] | ||
| 42 | No OOA(9127, 97, S9, 2, 117) | [i] | ||
| 43 | No OOA(9128, 97, S9, 2, 118) | [i] | ||
| 44 | No OOA(9129, 97, S9, 2, 119) | [i] | ||
| 45 | No OOA(9130, 97, S9, 2, 120) | [i] | ||
| 46 | No OOA(9131, 97, S9, 2, 121) | [i] | ||
| 47 | No OOA(9132, 97, S9, 2, 122) | [i] | ||
| 48 | No OOA(9133, 97, S9, 2, 123) | [i] | ||
| 49 | No OOA(9134, 97, S9, 2, 124) | [i] | ||
| 50 | No OOA(9135, 97, S9, 2, 125) | [i] | ||
| 51 | No OOA(9136, 97, S9, 2, 126) | [i] | ||
| 52 | No OOA(9137, 97, S9, 2, 127) | [i] | ||
| 53 | No OOA(9138, 97, S9, 2, 128) | [i] | ||
| 54 | No OOA(9139, 97, S9, 2, 129) | [i] | ||
| 55 | No OOA(9140, 97, S9, 2, 130) | [i] | ||
| 56 | No OOA(9141, 97, S9, 2, 131) | [i] | ||
| 57 | No OOA(9142, 97, S9, 2, 132) | [i] | ||
| 58 | No OOA(9143, 97, S9, 2, 133) | [i] | ||
| 59 | No OOA(9144, 97, S9, 2, 134) | [i] | ||
| 60 | No OOA(9145, 97, S9, 2, 135) | [i] | ||
| 61 | No OOA(9146, 97, S9, 2, 136) | [i] | ||
| 62 | No OOA(9147, 97, S9, 2, 137) | [i] | ||
| 63 | No OOA(9148, 97, S9, 2, 138) | [i] | ||
| 64 | No OOA(9149, 97, S9, 2, 139) | [i] | ||
| 65 | No OOA(9150, 97, S9, 2, 140) | [i] | ||
| 66 | No OOA(987, 97, S9, 2, 77) | [i] | Depth Reduction | |
| 67 | No OOA(987, 97, S9, 3, 77) | [i] | ||
| 68 | No (10, 87, 97)-net in base 9 | [i] | Extracting Embedded Orthogonal Array | |