Information on Result #547612
There is no linear OA(8171, 453, F8, 144) (dual of [453, 282, 145]-code), because residual code would yield OA(827, 308, S8, 18), but
- the Rao or (dual) Hamming bound shows that M ≥ 2 475739 441552 887337 471106 > 827 [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(8172, 454, F8, 145) (dual of [454, 282, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(8173, 455, F8, 146) (dual of [455, 282, 147]-code) | [i] | ||
| 3 | No linear OOA(8172, 453, F8, 2, 145) (dual of [(453, 2), 734, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(8173, 453, F8, 2, 146) (dual of [(453, 2), 733, 147]-NRT-code) | [i] | ||
| 5 | No linear OOA(8171, 453, F8, 2, 144) (dual of [(453, 2), 735, 145]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(8171, 453, F8, 3, 144) (dual of [(453, 3), 1188, 145]-NRT-code) | [i] | ||
| 7 | No digital (27, 171, 453)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |