Information on Result #57749
There is no OA(493, 51, S49, 3), because bound for OAs with index unity
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 OA(494, 52, S49, 4) | [i] | Truncation | |
| 2 | No OA(495, 53, S49, 5) | [i] | ||
| 3 | No OA(496, 54, S49, 6) | [i] | ||
| 4 | No OA(497, 55, S49, 7) | [i] | ||
| 5 | No OA(498, 56, S49, 8) | [i] | ||
| 6 | No OA(499, 57, S49, 9) | [i] | ||
| 7 | No OA(4910, 58, S49, 10) | [i] | ||
| 8 | No OA(4911, 59, S49, 11) | [i] | ||
| 9 | No OA(4912, 60, S49, 12) | [i] | ||
| 10 | No OA(4913, 61, S49, 13) | [i] | ||
| 11 | No OA(4914, 62, S49, 14) | [i] | ||
| 12 | No OA(4915, 63, S49, 15) | [i] | ||
| 13 | No OA(4916, 64, S49, 16) | [i] | ||
| 14 | No OA(4917, 65, S49, 17) | [i] | ||
| 15 | No OA(4918, 66, S49, 18) | [i] | ||
| 16 | No OA(4919, 67, S49, 19) | [i] | ||
| 17 | No OA(4920, 68, S49, 20) | [i] | ||
| 18 | No OA(4921, 69, S49, 21) | [i] | ||
| 19 | No OA(4922, 70, S49, 22) | [i] | ||
| 20 | No OA(4923, 71, S49, 23) | [i] | ||
| 21 | No OA(4924, 72, S49, 24) | [i] | ||
| 22 | No OA(4925, 73, S49, 25) | [i] | ||
| 23 | No OA(4926, 74, S49, 26) | [i] | ||
| 24 | No OA(4927, 75, S49, 27) | [i] | ||
| 25 | No OA(4928, 76, S49, 28) | [i] | ||
| 26 | No OA(4929, 77, S49, 29) | [i] | ||
| 27 | No OA(4930, 78, S49, 30) | [i] | ||
| 28 | No OA(4931, 79, S49, 31) | [i] | ||
| 29 | No OA(4932, 80, S49, 32) | [i] | ||
| 30 | No OA(4933, 81, S49, 33) | [i] | ||
| 31 | No OA(4934, 82, S49, 34) | [i] | ||
| 32 | No OA(4935, 83, S49, 35) | [i] | ||
| 33 | No OA(4936, 84, S49, 36) | [i] | ||
| 34 | No OA(4937, 85, S49, 37) | [i] | ||
| 35 | No OA(4938, 86, S49, 38) | [i] | ||
| 36 | No OA(4939, 87, S49, 39) | [i] | ||
| 37 | No OA(4940, 88, S49, 40) | [i] | ||
| 38 | No OA(4941, 89, S49, 41) | [i] | ||
| 39 | No OA(4942, 90, S49, 42) | [i] | ||
| 40 | No OA(4943, 91, S49, 43) | [i] | ||
| 41 | No OA(4944, 92, S49, 44) | [i] | ||
| 42 | No OA(4945, 93, S49, 45) | [i] | ||
| 43 | No OA(4946, 94, S49, 46) | [i] | ||
| 44 | No OA(4947, 95, S49, 47) | [i] | ||
| 45 | No OA(4948, 96, S49, 48) | [i] | ||
| 46 | No OOA(4954, 51, S49, 2, 54) | [i] | m-Reduction for OOAs | |
| 47 | No OOA(493, 51, S49, 2, 3) | [i] | Depth Reduction | |
| 48 | No OOA(493, 51, S49, 3, 3) | [i] | ||
| 49 | No (0, 3, 51)-net in base 49 | [i] | Extracting Embedded Orthogonal Array | |
| 50 | No 51-cap in AG(2,49) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 51 | No linear OA(4948, 51, F49, 48) (dual of [51, 3, 49]-code or 51-arc in PG(47,49)) | [i] | Dual of MDS Code Is Again an MDS Code | |