Information on Result #59882
There is no OA(468, 78, S4, 51), because the linear programming bound shows that M ≥ 28277 344911 736830 143467 290769 718122 389583 167488 / 244673 > 468
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(469, 79, S4, 52) | [i] | Truncation | |
| 2 | No OOA(469, 78, S4, 2, 52) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(470, 78, S4, 2, 53) | [i] | ||
| 4 | No OOA(472, 78, S4, 2, 55) | [i] | ||
| 5 | No OOA(473, 78, S4, 2, 56) | [i] | ||
| 6 | No OOA(474, 78, S4, 2, 57) | [i] | ||
| 7 | No OOA(475, 78, S4, 2, 58) | [i] | ||
| 8 | No OOA(476, 78, S4, 2, 59) | [i] | ||
| 9 | No OOA(477, 78, S4, 2, 60) | [i] | ||
| 10 | No OOA(478, 78, S4, 2, 61) | [i] | ||
| 11 | No OOA(479, 78, S4, 2, 62) | [i] | ||
| 12 | No OOA(480, 78, S4, 2, 63) | [i] | ||
| 13 | No OOA(481, 78, S4, 2, 64) | [i] | ||
| 14 | No OOA(482, 78, S4, 2, 65) | [i] | ||
| 15 | No OOA(483, 78, S4, 2, 66) | [i] | ||
| 16 | No OOA(484, 78, S4, 2, 67) | [i] | ||
| 17 | No OOA(485, 78, S4, 2, 68) | [i] | ||
| 18 | No OOA(486, 78, S4, 2, 69) | [i] | ||
| 19 | No OOA(487, 78, S4, 2, 70) | [i] | ||
| 20 | No OOA(488, 78, S4, 2, 71) | [i] | ||
| 21 | No OOA(489, 78, S4, 2, 72) | [i] | ||
| 22 | No OOA(490, 78, S4, 2, 73) | [i] | ||
| 23 | No OOA(491, 78, S4, 2, 74) | [i] | ||
| 24 | No OOA(492, 78, S4, 2, 75) | [i] | ||
| 25 | No OOA(493, 78, S4, 2, 76) | [i] | ||
| 26 | No OOA(494, 78, S4, 2, 77) | [i] | ||
| 27 | No OOA(495, 78, S4, 2, 78) | [i] | ||
| 28 | No OOA(496, 78, S4, 2, 79) | [i] | ||
| 29 | No OOA(497, 78, S4, 2, 80) | [i] | ||
| 30 | No OOA(498, 78, S4, 2, 81) | [i] | ||
| 31 | No OOA(499, 78, S4, 2, 82) | [i] | ||
| 32 | No OOA(4100, 78, S4, 2, 83) | [i] | ||
| 33 | No OOA(4101, 78, S4, 2, 84) | [i] | ||
| 34 | No OOA(4102, 78, S4, 2, 85) | [i] | ||
| 35 | No OOA(4103, 78, S4, 2, 86) | [i] | ||
| 36 | No OOA(4104, 78, S4, 2, 87) | [i] | ||
| 37 | No OOA(4105, 78, S4, 2, 88) | [i] | ||
| 38 | No OOA(4106, 78, S4, 2, 89) | [i] | ||
| 39 | No OOA(4107, 78, S4, 2, 90) | [i] | ||
| 40 | No OOA(4108, 78, S4, 2, 91) | [i] | ||
| 41 | No OOA(4109, 78, S4, 2, 92) | [i] | ||
| 42 | No OOA(4110, 78, S4, 2, 93) | [i] | ||
| 43 | No OOA(4111, 78, S4, 2, 94) | [i] | ||
| 44 | No OOA(4112, 78, S4, 2, 95) | [i] | ||
| 45 | No OOA(4113, 78, S4, 2, 96) | [i] | ||
| 46 | No OOA(4114, 78, S4, 2, 97) | [i] | ||
| 47 | No OOA(4115, 78, S4, 2, 98) | [i] | ||
| 48 | No OOA(4116, 78, S4, 2, 99) | [i] | ||
| 49 | No OOA(4117, 78, S4, 2, 100) | [i] | ||
| 50 | No OOA(4118, 78, S4, 2, 101) | [i] | ||
| 51 | No OOA(4119, 78, S4, 2, 102) | [i] | ||
| 52 | No OOA(4120, 78, S4, 2, 103) | [i] | ||
| 53 | No OOA(4121, 78, S4, 2, 104) | [i] | ||
| 54 | No OOA(4122, 78, S4, 2, 105) | [i] | ||
| 55 | No OOA(4123, 78, S4, 2, 106) | [i] | ||
| 56 | No OOA(4124, 78, S4, 2, 107) | [i] | ||
| 57 | No OOA(4125, 78, S4, 2, 108) | [i] | ||
| 58 | No OOA(4126, 78, S4, 2, 109) | [i] | ||
| 59 | No OOA(468, 78, S4, 2, 51) | [i] | Depth Reduction | |
| 60 | No OOA(468, 78, S4, 3, 51) | [i] | ||
| 61 | No (17, 68, 78)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |