Information on Result #5389
There is no OA(1667, 69, S16, 64), because the (dual) Plotkin bound shows that M ≥ 7588 550360 256754 183279 148073 529370 729071 901715 047420 004889 892225 542594 864082 845696 / 13 > 1667
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(1668, 70, S16, 65) | [i] | Truncation | |
| 2 | No OA(1669, 71, S16, 66) | [i] | ||
| 3 | No OA(1670, 72, S16, 67) | [i] | ||
| 4 | No OA(1671, 73, S16, 68) | [i] | ||
| 5 | No OA(1672, 74, S16, 69) | [i] | ||
| 6 | No OA(1673, 75, S16, 70) | [i] | ||
| 7 | No OA(1674, 76, S16, 71) | [i] | ||
| 8 | No OA(1675, 77, S16, 72) | [i] | ||
| 9 | No OA(1676, 78, S16, 73) | [i] | ||
| 10 | No OA(1677, 79, S16, 74) | [i] | ||
| 11 | No OA(1678, 80, S16, 75) | [i] | ||
| 12 | No OA(1679, 81, S16, 76) | [i] | ||
| 13 | No OA(1680, 82, S16, 77) | [i] | ||
| 14 | No OA(1681, 83, S16, 78) | [i] | ||
| 15 | No OA(1682, 84, S16, 79) | [i] | ||
| 16 | No OA(1683, 85, S16, 80) | [i] | ||
| 17 | No OA(1684, 86, S16, 81) | [i] | ||
| 18 | No OA(1685, 87, S16, 82) | [i] | ||
| 19 | No OA(1686, 88, S16, 83) | [i] | ||
| 20 | No OA(1687, 89, S16, 84) | [i] | ||
| 21 | No OA(1688, 90, S16, 85) | [i] | ||
| 22 | No OA(1689, 91, S16, 86) | [i] | ||
| 23 | No OA(1690, 92, S16, 87) | [i] | ||
| 24 | No OA(1691, 93, S16, 88) | [i] | ||
| 25 | No OA(1692, 94, S16, 89) | [i] | ||
| 26 | No OA(1693, 95, S16, 90) | [i] | ||
| 27 | No OA(1694, 96, S16, 91) | [i] | ||
| 28 | No OA(1695, 97, S16, 92) | [i] | ||
| 29 | No OA(1696, 98, S16, 93) | [i] | ||
| 30 | No OA(1697, 99, S16, 94) | [i] | ||
| 31 | No OA(1698, 100, S16, 95) | [i] | ||
| 32 | No OA(1699, 101, S16, 96) | [i] | ||
| 33 | No OA(16100, 102, S16, 97) | [i] | ||
| 34 | No OA(16101, 103, S16, 98) | [i] | ||
| 35 | No OA(16102, 104, S16, 99) | [i] | ||
| 36 | No OA(16103, 105, S16, 100) | [i] | ||
| 37 | No OA(16104, 106, S16, 101) | [i] | ||
| 38 | No OA(16105, 107, S16, 102) | [i] | ||
| 39 | No OA(16106, 108, S16, 103) | [i] | ||
| 40 | No OA(16107, 109, S16, 104) | [i] | ||
| 41 | No OA(16108, 110, S16, 105) | [i] | ||
| 42 | No OA(16109, 111, S16, 106) | [i] | ||
| 43 | No OA(16110, 112, S16, 107) | [i] | ||
| 44 | No OA(16111, 113, S16, 108) | [i] | ||
| 45 | No OA(16112, 114, S16, 109) | [i] | ||
| 46 | No OA(16113, 115, S16, 110) | [i] | ||
| 47 | No OA(16114, 116, S16, 111) | [i] | ||
| 48 | No OA(16115, 117, S16, 112) | [i] | ||
| 49 | No OA(16116, 118, S16, 113) | [i] | ||
| 50 | No OA(16117, 119, S16, 114) | [i] | ||
| 51 | No OA(16118, 120, S16, 115) | [i] | ||
| 52 | No OA(16119, 121, S16, 116) | [i] | ||
| 53 | No OA(16120, 122, S16, 117) | [i] | ||
| 54 | No OA(16121, 123, S16, 118) | [i] | ||
| 55 | No OA(16122, 124, S16, 119) | [i] | ||
| 56 | No OA(16123, 125, S16, 120) | [i] | ||
| 57 | No OA(16124, 126, S16, 121) | [i] | ||
| 58 | No OA(16125, 127, S16, 122) | [i] | ||
| 59 | No OA(16126, 128, S16, 123) | [i] | ||
| 60 | No OA(16127, 129, S16, 124) | [i] | ||
| 61 | No OA(16128, 130, S16, 125) | [i] | ||
| 62 | No OA(16129, 131, S16, 126) | [i] | ||
| 63 | No OA(16130, 132, S16, 127) | [i] | ||
| 64 | No linear OA(1668, 77, F16, 64) (dual of [77, 9, 65]-code) | [i] | Construction Y1 (Bound) | |