Information on Result #62643
There is no OA(1689, 165, S16, 83), because the linear programming bound shows that M ≥ 15352 684767 685611 086882 809761 984160 188561 571509 004484 738285 092713 831920 008077 971129 525920 055364 921813 182353 415776 911815 913281 106245 860502 560348 270257 729557 233664 / 103836 312412 686023 017550 716368 186316 554556 371946 618739 > 1689
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 OOA(1689, 165, S16, 2, 83) | [i] | Depth Reduction | |
| 2 | No (6, 89, 165)-net in base 16 | [i] | Extracting Embedded Orthogonal Array | |
| 3 | No linear OA(1686, 175, F16, 80) (dual of [175, 89, 81]-code) | [i] | Construction Y1 (Bound) | |