Information on Result #547610
There is no linear OA(8169, 339, F8, 144) (dual of [339, 170, 145]-code), because residual code would yield OA(825, 194, S8, 18), but
- the linear programming bound shows that M ≥ 981 557937 430649 389126 891450 072096 402915 196928 / 25377 967658 307417 319547 > 825 [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(8170, 340, F8, 145) (dual of [340, 170, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(8171, 341, F8, 146) (dual of [341, 170, 147]-code) | [i] | ||
| 3 | No linear OA(8172, 342, F8, 147) (dual of [342, 170, 148]-code) | [i] | ||
| 4 | No linear OA(8173, 343, F8, 148) (dual of [343, 170, 149]-code) | [i] | ||
| 5 | No linear OOA(8170, 339, F8, 2, 145) (dual of [(339, 2), 508, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(8171, 339, F8, 2, 146) (dual of [(339, 2), 507, 147]-NRT-code) | [i] | ||
| 7 | No linear OOA(8172, 339, F8, 2, 147) (dual of [(339, 2), 506, 148]-NRT-code) | [i] | ||
| 8 | No linear OOA(8173, 339, F8, 2, 148) (dual of [(339, 2), 505, 149]-NRT-code) | [i] | ||
| 9 | No linear OOA(8169, 339, F8, 2, 144) (dual of [(339, 2), 509, 145]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(8169, 339, F8, 3, 144) (dual of [(339, 3), 848, 145]-NRT-code) | [i] | ||
| 11 | No digital (25, 169, 339)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |