Information on Result #5397
There is no OA(2727, 29, S27, 27), because the (dual) Plotkin bound shows that M ≥ 11972 515182 562019 788602 740026 717047 105681 / 14 > 2727
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(2728, 30, S27, 28) | [i] | Truncation | |
| 2 | No OA(2729, 31, S27, 29) | [i] | ||
| 3 | No OA(2730, 32, S27, 30) | [i] | ||
| 4 | No OA(2731, 33, S27, 31) | [i] | ||
| 5 | No OA(2732, 34, S27, 32) | [i] | ||
| 6 | No OA(2733, 35, S27, 33) | [i] | ||
| 7 | No OA(2734, 36, S27, 34) | [i] | ||
| 8 | No OA(2735, 37, S27, 35) | [i] | ||
| 9 | No OA(2736, 38, S27, 36) | [i] | ||
| 10 | No OA(2737, 39, S27, 37) | [i] | ||
| 11 | No OA(2738, 40, S27, 38) | [i] | ||
| 12 | No OA(2739, 41, S27, 39) | [i] | ||
| 13 | No OA(2740, 42, S27, 40) | [i] | ||
| 14 | No OA(2741, 43, S27, 41) | [i] | ||
| 15 | No OA(2742, 44, S27, 42) | [i] | ||
| 16 | No OA(2743, 45, S27, 43) | [i] | ||
| 17 | No OA(2744, 46, S27, 44) | [i] | ||
| 18 | No OA(2745, 47, S27, 45) | [i] | ||
| 19 | No OA(2746, 48, S27, 46) | [i] | ||
| 20 | No OA(2747, 49, S27, 47) | [i] | ||
| 21 | No OA(2748, 50, S27, 48) | [i] | ||
| 22 | No OA(2749, 51, S27, 49) | [i] | ||
| 23 | No OA(2750, 52, S27, 50) | [i] | ||
| 24 | No OA(2751, 53, S27, 51) | [i] | ||
| 25 | No OA(2752, 54, S27, 52) | [i] | ||
| 26 | No OA(2753, 55, S27, 53) | [i] | ||
| 27 | No OA(2754, 56, S27, 54) | [i] | ||
| 28 | No OA(2755, 57, S27, 55) | [i] | ||
| 29 | No OA(2756, 58, S27, 56) | [i] | ||
| 30 | No OA(2757, 59, S27, 57) | [i] | ||
| 31 | No OA(2758, 60, S27, 58) | [i] | ||
| 32 | No OA(2759, 61, S27, 59) | [i] | ||
| 33 | No OA(2760, 62, S27, 60) | [i] | ||
| 34 | No OA(2761, 63, S27, 61) | [i] | ||
| 35 | No OA(2762, 64, S27, 62) | [i] | ||
| 36 | No OA(2763, 65, S27, 63) | [i] | ||
| 37 | No OA(2764, 66, S27, 64) | [i] | ||
| 38 | No OA(2765, 67, S27, 65) | [i] | ||
| 39 | No OA(2766, 68, S27, 66) | [i] | ||
| 40 | No OA(2767, 69, S27, 67) | [i] | ||
| 41 | No OA(2768, 70, S27, 68) | [i] | ||
| 42 | No OA(2769, 71, S27, 69) | [i] | ||
| 43 | No OA(2770, 72, S27, 70) | [i] | ||
| 44 | No OA(2771, 73, S27, 71) | [i] | ||
| 45 | No OA(2772, 74, S27, 72) | [i] | ||
| 46 | No OA(2773, 75, S27, 73) | [i] | ||
| 47 | No OA(2774, 76, S27, 74) | [i] | ||
| 48 | No OA(2775, 77, S27, 75) | [i] | ||
| 49 | No OA(2776, 78, S27, 76) | [i] | ||
| 50 | No OA(2777, 79, S27, 77) | [i] | ||
| 51 | No OA(2778, 80, S27, 78) | [i] | ||
| 52 | No OA(2779, 81, S27, 79) | [i] | ||
| 53 | No OA(2780, 82, S27, 80) | [i] | ||
| 54 | No OA(2781, 83, S27, 81) | [i] | ||
| 55 | No OA(2782, 84, S27, 82) | [i] | ||
| 56 | No OA(2783, 85, S27, 83) | [i] | ||
| 57 | No OA(2784, 86, S27, 84) | [i] | ||
| 58 | No OA(2785, 87, S27, 85) | [i] | ||
| 59 | No OA(2786, 88, S27, 86) | [i] | ||
| 60 | No OA(2787, 89, S27, 87) | [i] | ||
| 61 | No OA(2788, 90, S27, 88) | [i] | ||
| 62 | No OA(2789, 91, S27, 89) | [i] | ||
| 63 | No OA(2790, 92, S27, 90) | [i] | ||
| 64 | No OA(2791, 93, S27, 91) | [i] | ||
| 65 | No OA(2792, 94, S27, 92) | [i] | ||
| 66 | No OA(2793, 95, S27, 93) | [i] | ||
| 67 | No OA(2794, 96, S27, 94) | [i] | ||
| 68 | No OA(2795, 97, S27, 95) | [i] | ||
| 69 | No OA(2796, 98, S27, 96) | [i] | ||
| 70 | No OA(2797, 99, S27, 97) | [i] | ||
| 71 | No OA(2798, 100, S27, 98) | [i] | ||
| 72 | No OA(2799, 101, S27, 99) | [i] | ||
| 73 | No OA(27100, 102, S27, 100) | [i] | ||
| 74 | No OA(27101, 103, S27, 101) | [i] | ||
| 75 | No OA(27102, 104, S27, 102) | [i] | ||
| 76 | No OA(27103, 105, S27, 103) | [i] | ||
| 77 | No OA(27104, 106, S27, 104) | [i] | ||
| 78 | No OA(27105, 107, S27, 105) | [i] | ||
| 79 | No OA(27106, 108, S27, 106) | [i] | ||
| 80 | No OA(27107, 109, S27, 107) | [i] | ||
| 81 | No OA(27108, 110, S27, 108) | [i] | ||
| 82 | No OA(27109, 111, S27, 109) | [i] | ||
| 83 | No OA(27110, 112, S27, 110) | [i] | ||
| 84 | No OOA(2733, 29, S27, 2, 33) | [i] | m-Reduction for OOAs | |
| 85 | No OOA(2734, 29, S27, 2, 34) | [i] | ||
| 86 | No OOA(2735, 29, S27, 2, 35) | [i] | ||
| 87 | No OOA(2736, 29, S27, 2, 36) | [i] | ||
| 88 | No OOA(2737, 29, S27, 2, 37) | [i] | ||
| 89 | No OOA(2738, 29, S27, 2, 38) | [i] | ||
| 90 | No OOA(2739, 29, S27, 2, 39) | [i] | ||
| 91 | No OOA(2740, 29, S27, 2, 40) | [i] | ||
| 92 | No OOA(2741, 29, S27, 2, 41) | [i] | ||
| 93 | No OOA(2742, 29, S27, 2, 42) | [i] | ||
| 94 | No OOA(2743, 29, S27, 2, 43) | [i] | ||
| 95 | No OOA(2744, 29, S27, 2, 44) | [i] | ||
| 96 | No OOA(2745, 29, S27, 2, 45) | [i] | ||
| 97 | No OOA(2746, 29, S27, 2, 46) | [i] | ||
| 98 | No OOA(2747, 29, S27, 2, 47) | [i] | ||
| 99 | No OOA(2748, 29, S27, 2, 48) | [i] | ||
| 100 | No OOA(2749, 29, S27, 2, 49) | [i] | ||
| 101 | No OOA(2750, 29, S27, 2, 50) | [i] | ||
| 102 | No OOA(2751, 29, S27, 2, 51) | [i] | ||
| 103 | No OOA(2752, 29, S27, 2, 52) | [i] | ||
| 104 | No OOA(2753, 29, S27, 2, 53) | [i] | ||
| 105 | No OOA(2754, 29, S27, 2, 54) | [i] | ||
| 106 | No OOA(2755, 29, S27, 2, 55) | [i] | ||
| 107 | No OOA(2727, 29, S27, 2, 27) | [i] | Depth Reduction | |