Information on Result #61792
There is no OA(872, 82, S8, 63), because the linear programming bound shows that M ≥ 5 943562 882293 362898 492495 479069 260758 679371 222248 872068 611620 811931 910144 / 44 417945 > 872
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(873, 83, S8, 64) | [i] | Truncation | |
| 2 | No OOA(873, 82, S8, 2, 64) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(875, 82, S8, 2, 66) | [i] | ||
| 4 | No OOA(876, 82, S8, 2, 67) | [i] | ||
| 5 | No OOA(877, 82, S8, 2, 68) | [i] | ||
| 6 | No OOA(878, 82, S8, 2, 69) | [i] | ||
| 7 | No OOA(879, 82, S8, 2, 70) | [i] | ||
| 8 | No OOA(880, 82, S8, 2, 71) | [i] | ||
| 9 | No OOA(881, 82, S8, 2, 72) | [i] | ||
| 10 | No OOA(882, 82, S8, 2, 73) | [i] | ||
| 11 | No OOA(883, 82, S8, 2, 74) | [i] | ||
| 12 | No OOA(884, 82, S8, 2, 75) | [i] | ||
| 13 | No OOA(885, 82, S8, 2, 76) | [i] | ||
| 14 | No OOA(886, 82, S8, 2, 77) | [i] | ||
| 15 | No OOA(887, 82, S8, 2, 78) | [i] | ||
| 16 | No OOA(888, 82, S8, 2, 79) | [i] | ||
| 17 | No OOA(889, 82, S8, 2, 80) | [i] | ||
| 18 | No OOA(890, 82, S8, 2, 81) | [i] | ||
| 19 | No OOA(891, 82, S8, 2, 82) | [i] | ||
| 20 | No OOA(892, 82, S8, 2, 83) | [i] | ||
| 21 | No OOA(893, 82, S8, 2, 84) | [i] | ||
| 22 | No OOA(894, 82, S8, 2, 85) | [i] | ||
| 23 | No OOA(895, 82, S8, 2, 86) | [i] | ||
| 24 | No OOA(896, 82, S8, 2, 87) | [i] | ||
| 25 | No OOA(897, 82, S8, 2, 88) | [i] | ||
| 26 | No OOA(898, 82, S8, 2, 89) | [i] | ||
| 27 | No OOA(899, 82, S8, 2, 90) | [i] | ||
| 28 | No OOA(8100, 82, S8, 2, 91) | [i] | ||
| 29 | No OOA(8101, 82, S8, 2, 92) | [i] | ||
| 30 | No OOA(8102, 82, S8, 2, 93) | [i] | ||
| 31 | No OOA(8103, 82, S8, 2, 94) | [i] | ||
| 32 | No OOA(8104, 82, S8, 2, 95) | [i] | ||
| 33 | No OOA(8105, 82, S8, 2, 96) | [i] | ||
| 34 | No OOA(8106, 82, S8, 2, 97) | [i] | ||
| 35 | No OOA(8107, 82, S8, 2, 98) | [i] | ||
| 36 | No OOA(8108, 82, S8, 2, 99) | [i] | ||
| 37 | No OOA(8109, 82, S8, 2, 100) | [i] | ||
| 38 | No OOA(8110, 82, S8, 2, 101) | [i] | ||
| 39 | No OOA(8111, 82, S8, 2, 102) | [i] | ||
| 40 | No OOA(8112, 82, S8, 2, 103) | [i] | ||
| 41 | No OOA(8113, 82, S8, 2, 104) | [i] | ||
| 42 | No OOA(8114, 82, S8, 2, 105) | [i] | ||
| 43 | No OOA(8115, 82, S8, 2, 106) | [i] | ||
| 44 | No OOA(8116, 82, S8, 2, 107) | [i] | ||
| 45 | No OOA(8117, 82, S8, 2, 108) | [i] | ||
| 46 | No OOA(8118, 82, S8, 2, 109) | [i] | ||
| 47 | No OOA(8119, 82, S8, 2, 110) | [i] | ||
| 48 | No OOA(8120, 82, S8, 2, 111) | [i] | ||
| 49 | No OOA(8121, 82, S8, 2, 112) | [i] | ||
| 50 | No OOA(8122, 82, S8, 2, 113) | [i] | ||
| 51 | No OOA(8123, 82, S8, 2, 114) | [i] | ||
| 52 | No OOA(8124, 82, S8, 2, 115) | [i] | ||
| 53 | No OOA(8125, 82, S8, 2, 116) | [i] | ||
| 54 | No OOA(8126, 82, S8, 2, 117) | [i] | ||
| 55 | No OOA(8127, 82, S8, 2, 118) | [i] | ||
| 56 | No OOA(8128, 82, S8, 2, 119) | [i] | ||
| 57 | No OOA(8129, 82, S8, 2, 120) | [i] | ||
| 58 | No OOA(8130, 82, S8, 2, 121) | [i] | ||
| 59 | No OOA(8131, 82, S8, 2, 122) | [i] | ||
| 60 | No OOA(8132, 82, S8, 2, 123) | [i] | ||
| 61 | No OOA(8133, 82, S8, 2, 124) | [i] | ||
| 62 | No OOA(8134, 82, S8, 2, 125) | [i] | ||
| 63 | No OOA(8135, 82, S8, 2, 126) | [i] | ||
| 64 | No OOA(8136, 82, S8, 2, 127) | [i] | ||
| 65 | No OOA(8137, 82, S8, 2, 128) | [i] | ||
| 66 | No OOA(8138, 82, S8, 2, 129) | [i] | ||
| 67 | No OOA(8139, 82, S8, 2, 130) | [i] | ||
| 68 | No OOA(8140, 82, S8, 2, 131) | [i] | ||
| 69 | No OOA(8141, 82, S8, 2, 132) | [i] | ||
| 70 | No OOA(8142, 82, S8, 2, 133) | [i] | ||
| 71 | No OOA(8143, 82, S8, 2, 134) | [i] | ||
| 72 | No OOA(8144, 82, S8, 2, 135) | [i] | ||
| 73 | No OOA(8145, 82, S8, 2, 136) | [i] | ||
| 74 | No OOA(8146, 82, S8, 2, 137) | [i] | ||
| 75 | No OOA(8147, 82, S8, 2, 138) | [i] | ||
| 76 | No OOA(8148, 82, S8, 2, 139) | [i] | ||
| 77 | No OOA(8149, 82, S8, 2, 140) | [i] | ||
| 78 | No OOA(8150, 82, S8, 2, 141) | [i] | ||
| 79 | No OOA(8151, 82, S8, 2, 142) | [i] | ||
| 80 | No OOA(8152, 82, S8, 2, 143) | [i] | ||
| 81 | No OOA(8153, 82, S8, 2, 144) | [i] | ||
| 82 | No OOA(8154, 82, S8, 2, 145) | [i] | ||
| 83 | No OOA(8157, 82, S8, 3, 148) | [i] | ||
| 84 | No OOA(8158, 82, S8, 3, 149) | [i] | ||
| 85 | No OOA(872, 82, S8, 2, 63) | [i] | Depth Reduction | |
| 86 | No OOA(872, 82, S8, 3, 63) | [i] | ||
| 87 | No (9, 72, 82)-net in base 8 | [i] | Extracting Embedded Orthogonal Array | |