Information on Result #62504
There is no OA(1645, 49, S16, 43), because the linear programming bound shows that M ≥ 79 689768 125026 220634 634045 411816 077548 174434 353547 313152 / 47 > 1645
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(1646, 50, S16, 44) | [i] | Truncation | |
| 2 | No OA(1647, 51, S16, 45) | [i] | ||
| 3 | No OA(1648, 52, S16, 46) | [i] | ||
| 4 | No OA(1649, 53, S16, 47) | [i] | ||
| 5 | No OOA(1646, 49, S16, 2, 44) | [i] | m-Reduction for OOAs | |
| 6 | No OOA(1647, 49, S16, 2, 45) | [i] | ||
| 7 | No OOA(1648, 49, S16, 2, 46) | [i] | ||
| 8 | No OOA(1649, 49, S16, 2, 47) | [i] | ||
| 9 | No OOA(1650, 49, S16, 2, 48) | [i] | ||
| 10 | No OOA(1651, 49, S16, 2, 49) | [i] | ||
| 11 | No OOA(1652, 49, S16, 2, 50) | [i] | ||
| 12 | No OOA(1653, 49, S16, 2, 51) | [i] | ||
| 13 | No OOA(1654, 49, S16, 2, 52) | [i] | ||
| 14 | No OOA(1655, 49, S16, 2, 53) | [i] | ||
| 15 | No OOA(1656, 49, S16, 2, 54) | [i] | ||
| 16 | No OOA(1657, 49, S16, 2, 55) | [i] | ||
| 17 | No OOA(1658, 49, S16, 2, 56) | [i] | ||
| 18 | No OOA(1659, 49, S16, 2, 57) | [i] | ||
| 19 | No OOA(1660, 49, S16, 2, 58) | [i] | ||
| 20 | No OOA(1661, 49, S16, 2, 59) | [i] | ||
| 21 | No OOA(1662, 49, S16, 2, 60) | [i] | ||
| 22 | No OOA(1663, 49, S16, 2, 61) | [i] | ||
| 23 | No OOA(1664, 49, S16, 2, 62) | [i] | ||
| 24 | No OOA(1665, 49, S16, 2, 63) | [i] | ||
| 25 | No OOA(1666, 49, S16, 2, 64) | [i] | ||
| 26 | No OOA(1667, 49, S16, 2, 65) | [i] | ||
| 27 | No OOA(1668, 49, S16, 2, 66) | [i] | ||
| 28 | No OOA(1669, 49, S16, 2, 67) | [i] | ||
| 29 | No OOA(1670, 49, S16, 2, 68) | [i] | ||
| 30 | No OOA(1671, 49, S16, 2, 69) | [i] | ||
| 31 | No OOA(1672, 49, S16, 2, 70) | [i] | ||
| 32 | No OOA(1673, 49, S16, 2, 71) | [i] | ||
| 33 | No OOA(1674, 49, S16, 2, 72) | [i] | ||
| 34 | No OOA(1675, 49, S16, 2, 73) | [i] | ||
| 35 | No OOA(1676, 49, S16, 2, 74) | [i] | ||
| 36 | No OOA(1677, 49, S16, 2, 75) | [i] | ||
| 37 | No OOA(1678, 49, S16, 2, 76) | [i] | ||
| 38 | No OOA(1679, 49, S16, 2, 77) | [i] | ||
| 39 | No OOA(1680, 49, S16, 2, 78) | [i] | ||
| 40 | No OOA(1681, 49, S16, 2, 79) | [i] | ||
| 41 | No OOA(1682, 49, S16, 2, 80) | [i] | ||
| 42 | No OOA(1683, 49, S16, 2, 81) | [i] | ||
| 43 | No OOA(1684, 49, S16, 2, 82) | [i] | ||
| 44 | No OOA(1685, 49, S16, 2, 83) | [i] | ||
| 45 | No OOA(1686, 49, S16, 2, 84) | [i] | ||
| 46 | No OOA(1687, 49, S16, 2, 85) | [i] | ||
| 47 | No OOA(1688, 49, S16, 2, 86) | [i] | ||
| 48 | No OOA(1689, 49, S16, 2, 87) | [i] | ||
| 49 | No OOA(1690, 49, S16, 2, 88) | [i] | ||
| 50 | No OOA(1691, 49, S16, 2, 89) | [i] | ||
| 51 | No OOA(1692, 49, S16, 2, 90) | [i] | ||
| 52 | No OOA(1693, 49, S16, 2, 91) | [i] | ||
| 53 | No OOA(1694, 49, S16, 2, 92) | [i] | ||
| 54 | No OOA(1645, 49, S16, 2, 43) | [i] | Depth Reduction | |
| 55 | No (2, 45, 49)-net in base 16 | [i] | Extracting Embedded Orthogonal Array | |
| 56 | No linear OA(1646, 97, F16, 43) (dual of [97, 51, 44]-code) | [i] | Construction Y1 (Bound) | |