Information on Result #548466
There is no linear OA(3180, 192, F3, 120) (dual of [192, 12, 121]-code), because residual code would yield linear OA(360, 71, F3, 40) (dual of [71, 11, 41]-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(3181, 193, F3, 121) (dual of [193, 12, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(3182, 194, F3, 122) (dual of [194, 12, 123]-code) | [i] | ||
| 3 | No linear OOA(3181, 192, F3, 2, 121) (dual of [(192, 2), 203, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3182, 192, F3, 2, 122) (dual of [(192, 2), 202, 123]-NRT-code) | [i] | ||
| 5 | No linear OOA(3180, 192, F3, 2, 120) (dual of [(192, 2), 204, 121]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3180, 192, F3, 3, 120) (dual of [(192, 3), 396, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(3180, 192, F3, 4, 120) (dual of [(192, 4), 588, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(3180, 192, F3, 5, 120) (dual of [(192, 5), 780, 121]-NRT-code) | [i] | ||
| 9 | No digital (60, 180, 192)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |