Information on Result #547635
There is no linear OA(1669, 159, F16, 64) (dual of [159, 90, 65]-code), because residual code would yield OA(165, 94, S16, 4), but
- the linear programming bound shows that M ≥ 2179 760128 / 2071 > 165 [i]
Mode: Bound (linear).
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 linear OA(1670, 160, F16, 65) (dual of [160, 90, 66]-code) | [i] | Truncation | |
| 2 | No linear OA(1671, 161, F16, 66) (dual of [161, 90, 67]-code) | [i] | ||
| 3 | No linear OA(1672, 162, F16, 67) (dual of [162, 90, 68]-code) | [i] | ||
| 4 | No linear OA(1673, 163, F16, 68) (dual of [163, 90, 69]-code) | [i] | ||
| 5 | No linear OOA(1670, 159, F16, 2, 65) (dual of [(159, 2), 248, 66]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(1671, 159, F16, 2, 66) (dual of [(159, 2), 247, 67]-NRT-code) | [i] | ||
| 7 | No linear OOA(1672, 159, F16, 2, 67) (dual of [(159, 2), 246, 68]-NRT-code) | [i] | ||
| 8 | No linear OOA(1673, 159, F16, 2, 68) (dual of [(159, 2), 245, 69]-NRT-code) | [i] | ||
| 9 | No linear OOA(1674, 159, F16, 2, 69) (dual of [(159, 2), 244, 70]-NRT-code) | [i] | ||
| 10 | No linear OOA(1675, 159, F16, 2, 70) (dual of [(159, 2), 243, 71]-NRT-code) | [i] | ||
| 11 | No linear OOA(1669, 159, F16, 2, 64) (dual of [(159, 2), 249, 65]-NRT-code) | [i] | Depth Reduction | |
| 12 | No digital (5, 69, 159)-net over F16 | [i] | Extracting Embedded Orthogonal Array | |