Information on Result #62611
There is no OA(1677, 81, S16, 73), because the linear programming bound shows that M ≥ 20 058253 259194 796242 490750 709498 450326 191022 155255 442417 783937 598455 532112 408827 665059 378347 638784 / 37999 > 1677
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(1678, 82, S16, 74) | [i] | Truncation | |
| 2 | No OA(1679, 83, S16, 75) | [i] | ||
| 3 | No OA(1680, 84, S16, 76) | [i] | ||
| 4 | No OA(1681, 85, S16, 77) | [i] | ||
| 5 | No OA(1682, 86, S16, 78) | [i] | ||
| 6 | No OA(1683, 87, S16, 79) | [i] | ||
| 7 | No OOA(1678, 81, S16, 2, 74) | [i] | m-Reduction for OOAs | |
| 8 | No OOA(1679, 81, S16, 2, 75) | [i] | ||
| 9 | No OOA(1680, 81, S16, 2, 76) | [i] | ||
| 10 | No OOA(1681, 81, S16, 2, 77) | [i] | ||
| 11 | No OOA(1682, 81, S16, 2, 78) | [i] | ||
| 12 | No OOA(1683, 81, S16, 2, 79) | [i] | ||
| 13 | No OOA(1684, 81, S16, 2, 80) | [i] | ||
| 14 | No OOA(1685, 81, S16, 2, 81) | [i] | ||
| 15 | No OOA(1686, 81, S16, 2, 82) | [i] | ||
| 16 | No OOA(1687, 81, S16, 2, 83) | [i] | ||
| 17 | No OOA(1688, 81, S16, 2, 84) | [i] | ||
| 18 | No OOA(1689, 81, S16, 2, 85) | [i] | ||
| 19 | No OOA(1690, 81, S16, 2, 86) | [i] | ||
| 20 | No OOA(1691, 81, S16, 2, 87) | [i] | ||
| 21 | No OOA(1692, 81, S16, 2, 88) | [i] | ||
| 22 | No OOA(1693, 81, S16, 2, 89) | [i] | ||
| 23 | No OOA(1694, 81, S16, 2, 90) | [i] | ||
| 24 | No OOA(1695, 81, S16, 2, 91) | [i] | ||
| 25 | No OOA(1696, 81, S16, 2, 92) | [i] | ||
| 26 | No OOA(1697, 81, S16, 2, 93) | [i] | ||
| 27 | No OOA(1698, 81, S16, 2, 94) | [i] | ||
| 28 | No OOA(1699, 81, S16, 2, 95) | [i] | ||
| 29 | No OOA(16100, 81, S16, 2, 96) | [i] | ||
| 30 | No OOA(16101, 81, S16, 2, 97) | [i] | ||
| 31 | No OOA(16102, 81, S16, 2, 98) | [i] | ||
| 32 | No OOA(16103, 81, S16, 2, 99) | [i] | ||
| 33 | No OOA(16104, 81, S16, 2, 100) | [i] | ||
| 34 | No OOA(16105, 81, S16, 2, 101) | [i] | ||
| 35 | No OOA(16106, 81, S16, 2, 102) | [i] | ||
| 36 | No OOA(16107, 81, S16, 2, 103) | [i] | ||
| 37 | No OOA(16108, 81, S16, 2, 104) | [i] | ||
| 38 | No OOA(16109, 81, S16, 2, 105) | [i] | ||
| 39 | No OOA(16110, 81, S16, 2, 106) | [i] | ||
| 40 | No OOA(16111, 81, S16, 2, 107) | [i] | ||
| 41 | No OOA(16112, 81, S16, 2, 108) | [i] | ||
| 42 | No OOA(16113, 81, S16, 2, 109) | [i] | ||
| 43 | No OOA(16114, 81, S16, 2, 110) | [i] | ||
| 44 | No OOA(16115, 81, S16, 2, 111) | [i] | ||
| 45 | No OOA(16116, 81, S16, 2, 112) | [i] | ||
| 46 | No OOA(16117, 81, S16, 2, 113) | [i] | ||
| 47 | No OOA(16118, 81, S16, 2, 114) | [i] | ||
| 48 | No OOA(16119, 81, S16, 2, 115) | [i] | ||
| 49 | No OOA(16120, 81, S16, 2, 116) | [i] | ||
| 50 | No OOA(16121, 81, S16, 2, 117) | [i] | ||
| 51 | No OOA(16122, 81, S16, 2, 118) | [i] | ||
| 52 | No OOA(16123, 81, S16, 2, 119) | [i] | ||
| 53 | No OOA(16124, 81, S16, 2, 120) | [i] | ||
| 54 | No OOA(16125, 81, S16, 2, 121) | [i] | ||
| 55 | No OOA(16126, 81, S16, 2, 122) | [i] | ||
| 56 | No OOA(16127, 81, S16, 2, 123) | [i] | ||
| 57 | No OOA(16128, 81, S16, 2, 124) | [i] | ||
| 58 | No OOA(16129, 81, S16, 2, 125) | [i] | ||
| 59 | No OOA(16130, 81, S16, 2, 126) | [i] | ||
| 60 | No OOA(1677, 81, S16, 2, 73) | [i] | Depth Reduction | |
| 61 | No (4, 77, 81)-net in base 16 | [i] | Extracting Embedded Orthogonal Array | |
| 62 | No linear OA(1678, 124, F16, 73) (dual of [124, 46, 74]-code) | [i] | Construction Y1 (Bound) | |