Information on Result #62020
There is no OA(927, 31, S9, 25), because the linear programming bound shows that M ≥ 25644 034018 340666 323462 064529 / 377 > 927
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(928, 32, S9, 26) | [i] | Truncation | |
| 2 | No OOA(928, 31, S9, 2, 26) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(930, 31, S9, 2, 28) | [i] | ||
| 4 | No OOA(931, 31, S9, 2, 29) | [i] | ||
| 5 | No OOA(932, 31, S9, 2, 30) | [i] | ||
| 6 | No OOA(933, 31, S9, 2, 31) | [i] | ||
| 7 | No OOA(934, 31, S9, 2, 32) | [i] | ||
| 8 | No OOA(935, 31, S9, 2, 33) | [i] | ||
| 9 | No OOA(936, 31, S9, 2, 34) | [i] | ||
| 10 | No OOA(937, 31, S9, 2, 35) | [i] | ||
| 11 | No OOA(938, 31, S9, 2, 36) | [i] | ||
| 12 | No OOA(939, 31, S9, 2, 37) | [i] | ||
| 13 | No OOA(940, 31, S9, 2, 38) | [i] | ||
| 14 | No OOA(941, 31, S9, 2, 39) | [i] | ||
| 15 | No OOA(942, 31, S9, 2, 40) | [i] | ||
| 16 | No OOA(943, 31, S9, 2, 41) | [i] | ||
| 17 | No OOA(944, 31, S9, 2, 42) | [i] | ||
| 18 | No OOA(945, 31, S9, 2, 43) | [i] | ||
| 19 | No OOA(946, 31, S9, 2, 44) | [i] | ||
| 20 | No OOA(947, 31, S9, 2, 45) | [i] | ||
| 21 | No OOA(948, 31, S9, 2, 46) | [i] | ||
| 22 | No OOA(949, 31, S9, 2, 47) | [i] | ||
| 23 | No OOA(950, 31, S9, 2, 48) | [i] | ||
| 24 | No OOA(951, 31, S9, 2, 49) | [i] | ||
| 25 | No OOA(952, 31, S9, 2, 50) | [i] | ||
| 26 | No OOA(953, 31, S9, 2, 51) | [i] | ||
| 27 | No OOA(954, 31, S9, 2, 52) | [i] | ||
| 28 | No OOA(955, 31, S9, 2, 53) | [i] | ||
| 29 | No OOA(956, 31, S9, 2, 54) | [i] | ||
| 30 | No OOA(957, 31, S9, 2, 55) | [i] | ||
| 31 | No OOA(958, 31, S9, 2, 56) | [i] | ||
| 32 | No OOA(961, 31, S9, 3, 59) | [i] | ||
| 33 | No OOA(962, 31, S9, 3, 60) | [i] | ||
| 34 | No OOA(963, 31, S9, 3, 61) | [i] | ||
| 35 | No OOA(964, 31, S9, 3, 62) | [i] | ||
| 36 | No OOA(965, 31, S9, 3, 63) | [i] | ||
| 37 | No OOA(966, 31, S9, 3, 64) | [i] | ||
| 38 | No OOA(967, 31, S9, 3, 65) | [i] | ||
| 39 | No OOA(968, 31, S9, 3, 66) | [i] | ||
| 40 | No OOA(969, 31, S9, 3, 67) | [i] | ||
| 41 | No OOA(970, 31, S9, 3, 68) | [i] | ||
| 42 | No OOA(971, 31, S9, 3, 69) | [i] | ||
| 43 | No OOA(972, 31, S9, 3, 70) | [i] | ||
| 44 | No OOA(973, 31, S9, 3, 71) | [i] | ||
| 45 | No OOA(974, 31, S9, 3, 72) | [i] | ||
| 46 | No OOA(975, 31, S9, 3, 73) | [i] | ||
| 47 | No OOA(976, 31, S9, 3, 74) | [i] | ||
| 48 | No OOA(977, 31, S9, 3, 75) | [i] | ||
| 49 | No OOA(978, 31, S9, 3, 76) | [i] | ||
| 50 | No OOA(979, 31, S9, 3, 77) | [i] | ||
| 51 | No OOA(980, 31, S9, 3, 78) | [i] | ||
| 52 | No OOA(981, 31, S9, 3, 79) | [i] | ||
| 53 | No OOA(982, 31, S9, 3, 80) | [i] | ||
| 54 | No OOA(983, 31, S9, 3, 81) | [i] | ||
| 55 | No OOA(984, 31, S9, 3, 82) | [i] | ||
| 56 | No OOA(985, 31, S9, 3, 83) | [i] | ||
| 57 | No OOA(986, 31, S9, 3, 84) | [i] | ||
| 58 | No OOA(987, 31, S9, 3, 85) | [i] | ||
| 59 | No OOA(988, 31, S9, 3, 86) | [i] | ||
| 60 | No OOA(989, 31, S9, 3, 87) | [i] | ||
| 61 | No OOA(927, 31, S9, 2, 25) | [i] | Depth Reduction | |
| 62 | No OOA(927, 31, S9, 3, 25) | [i] | ||
| 63 | No (2, 27, 31)-net in base 9 | [i] | Extracting Embedded Orthogonal Array | |
| 64 | No linear OA(99, 36, F9, 8) (dual of [36, 27, 9]-code) | [i] | Construction Y1 (Bound) | |
| 65 | No linear OA(928, 58, F9, 25) (dual of [58, 30, 26]-code) | [i] | ||