Information on Result #548459
There is no linear OA(3157, 168, F3, 105) (dual of [168, 11, 106]-code), because residual code would yield linear OA(352, 62, F3, 35) (dual of [62, 10, 36]-code), but
- “Gur†bound on codes from Brouwer’s database [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3158, 169, F3, 106) (dual of [169, 11, 107]-code) | [i] | Truncation | |
| 2 | No linear OA(3159, 170, F3, 107) (dual of [170, 11, 108]-code) | [i] | ||
| 3 | No linear OOA(3158, 168, F3, 2, 106) (dual of [(168, 2), 178, 107]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3159, 168, F3, 2, 107) (dual of [(168, 2), 177, 108]-NRT-code) | [i] | ||
| 5 | No linear OOA(3157, 168, F3, 2, 105) (dual of [(168, 2), 179, 106]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3157, 168, F3, 3, 105) (dual of [(168, 3), 347, 106]-NRT-code) | [i] | ||
| 7 | No linear OOA(3157, 168, F3, 4, 105) (dual of [(168, 4), 515, 106]-NRT-code) | [i] | ||
| 8 | No linear OOA(3157, 168, F3, 5, 105) (dual of [(168, 5), 683, 106]-NRT-code) | [i] | ||
| 9 | No digital (52, 157, 168)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |